252049072896 has 144 divisors (see below), whose sum is σ = 745683658720. Its totient is φ = 83979141120.

The previous prime is 252049072879. The next prime is 252049072909. The reversal of 252049072896 is 698270940252.

252049072896 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 490 + 72 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18745536 + ... + 18758976.

Almost surely, 2^252049072896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252049072896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372841829360).

252049072896 is an abundant number, since it is smaller than the sum of its proper divisors (493634585824).

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

252049072896 is a wasteful number, since it uses less digits than its factorization.

252049072896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16179 (or 16159 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 252049072896 in words is "two hundred fifty-two billion, forty-nine million, seventy-two thousand, eight hundred ninety-six".