252612253440 has 864 divisors, whose sum is σ = 1008152308800. Its totient is φ = 57967902720.

The previous prime is 252612253427. The next prime is 252612253451. The reversal of 252612253440 is 44352216252.

252612253440 is a `hidden beast` number, since 2 + 5 + 2 + 61 + 22 + 534 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 252612253395 and 252612253404.

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, 107906670 + ... + 107909010.

It is an arithmetic number, because the mean of its divisors is an integer number (1166842950).

Almost surely, 2^252612253440 is an apocalyptic number.

252612253440 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 252612253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504076154400).

252612253440 is an abundant number, since it is smaller than the sum of its proper divisors (755540055360).

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

252612253440 is a wasteful number, since it uses less digits than its factorization.

252612253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 252612253440 its reverse (44352216252), we get a palindrome (296964469692).

The spelling of 252612253440 in words is "two hundred fifty-two billion, six hundred twelve million, two hundred fifty-three thousand, four hundred forty".