252909596160 has 640 divisors, whose sum is σ = 974468880000. Its totient is φ = 61804118016.

The previous prime is 252909596129. The next prime is 252909596179. The reversal of 252909596160 is 61695909252.

252909596160 is a `hidden beast` number, since 2 + 529 + 0 + 9 + 59 + 6 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 = 252909596097 and 252909596106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133884496 + ... + 133886384.

It is an arithmetic number, because the mean of its divisors is an integer number (1522607625).

Almost surely, 2^252909596160 is an apocalyptic number.

252909596160 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 252909596160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487234440000).

252909596160 is an abundant number, since it is smaller than the sum of its proper divisors (721559283840).

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

252909596160 is a wasteful number, since it uses less digits than its factorization.

252909596160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 252909596160 in words is "two hundred fifty-two billion, nine hundred nine million, five hundred ninety-six thousand, one hundred sixty".