252029200896 has 400 divisors, whose sum is σ = 863846897760. Its totient is φ = 72350392320.

The previous prime is 252029200867. The next prime is 252029200931. The reversal of 252029200896 is 698002920252.

252029200896 is a `hidden beast` number, since 2 + 520 + 29 + 20 + 0 + 89 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8653110 + ... + 8682186.

Almost surely, 2^252029200896 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 252029200896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431923448880).

252029200896 is an abundant number, since it is smaller than the sum of its proper divisors (611817696864).

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

252029200896 is a wasteful number, since it uses less digits than its factorization.

252029200896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29137 (or 29112 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 252029200896 in words is "two hundred fifty-two billion, twenty-nine million, two hundred thousand, eight hundred ninety-six".