252207853148160 has 4320 divisors, whose sum is σ = 1156588123410720. Its totient is φ = 52379796897792.

The previous prime is 252207853148159. The next prime is 252207853148161. The reversal of 252207853148160 is 61841358702252.

It is a happy number.

252207853148160 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 0 + 7 + 8 + 531 + 48 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (252207853148159) and next prime (252207853148161).

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×252207853148160² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 252207853148097 and 252207853148106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252207853148161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 501407262469 + ... + 501407262971.

It is an arithmetic number, because the mean of its divisors is an integer number (267728732271).

Almost surely, 2^{252207853148160} is an apocalyptic number.

252207853148160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252207853148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578294061705360).

252207853148160 is an abundant number, since it is smaller than the sum of its proper divisors (904380270262560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252207853148160 is a wasteful number, since it uses less digits than its factorization.

252207853148160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 252207853148160 in words is "two hundred fifty-two trillion, two hundred seven billion, eight hundred fifty-three million, one hundred forty-eight thousand, one hundred sixty".