252032175360 has 864 divisors, whose sum is σ = 1062827281152. Its totient is φ = 53827338240.

The previous prime is 252032175331. The next prime is 252032175413. The reversal of 252032175360 is 63571230252.

252032175360 is a `hidden beast` number, since 2 + 5 + 203 + 21 + 75 + 360 = 666.

It is a super-2 number, since 2×252032175360² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215227575 + ... + 215228745.

It is an arithmetic number, because the mean of its divisors is an integer number (1230124168).

Almost surely, 2^252032175360 is an apocalyptic number.

252032175360 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 252032175360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531413640576).

252032175360 is an abundant number, since it is smaller than the sum of its proper divisors (810795105792).

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

252032175360 is a wasteful number, since it uses less digits than its factorization.

252032175360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 252032175360 in words is "two hundred fifty-two billion, thirty-two million, one hundred seventy-five thousand, three hundred sixty".