252034796160 has 512 divisors, whose sum is σ = 1055332800000. Its totient is φ = 55620698112.

The previous prime is 252034796129. The next prime is 252034796171. The reversal of 252034796160 is 61697430252.

252034796160 is a `hidden beast` number, since 2 + 5 + 20 + 3 + 4 + 7 + 9 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3471916 + ... + 3543764.

It is an arithmetic number, because the mean of its divisors is an integer number (2061196875).

Almost surely, 2^252034796160 is an apocalyptic number.

252034796160 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 252034796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527666400000).

252034796160 is an abundant number, since it is smaller than the sum of its proper divisors (803298003840).

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

252034796160 is a wasteful number, since it uses less digits than its factorization.

252034796160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71913 (or 71895 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 252034796160 in words is "two hundred fifty-two billion, thirty-four million, seven hundred ninety-six thousand, one hundred sixty".