252596375516160 has 792 divisors, whose sum is σ = 1001273225969016. Its totient is φ = 58520025169920.

The previous prime is 252596375516141. The next prime is 252596375516161. The reversal of 252596375516160 is 61615573695252.

252596375516160 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 9 + 6 + 3 + 7 + 5 + 5 + 1 + 616 + 0 = 666.

252596375516160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 62463605105664 + 190132770410496 = 7903392^2 + 13788864^2 .

It is a super-2 number, since 2×252596375516160² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252596375516161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 172393030 + ... + 173852090.

It is an arithmetic number, because the mean of its divisors is an integer number (1264233871173).

Almost surely, 2^{252596375516160} is an apocalyptic number.

252596375516160 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 252596375516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500636612984508).

252596375516160 is an abundant number, since it is smaller than the sum of its proper divisors (748676850452856).

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

252596375516160 is a wasteful number, since it uses less digits than its factorization.

252596375516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459139 (or 1459101 counting only the distinct ones).

The product of its (nonzero) digits is 102060000, while the sum is 63.

The spelling of 252596375516160 in words is "two hundred fifty-two trillion, five hundred ninety-six billion, three hundred seventy-five million, five hundred sixteen thousand, one hundred sixty".