252906576000 has 256 divisors, whose sum is σ = 902878704000. Its totient is φ = 62253772800.

The previous prime is 252906575963. The next prime is 252906576007. The reversal of 252906576000 is 675609252.

It is not an unprimeable number, because it can be changed into a prime (252906576007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421351 + ... + 826649.

Almost surely, 2^252906576000 is an apocalyptic number.

252906576000 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 252906576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451439352000).

252906576000 is an abundant number, since it is smaller than the sum of its proper divisors (649972128000).

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

252906576000 is a wasteful number, since it uses less digits than its factorization.

252906576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405344 (or 405322 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 252906576000 in words is "two hundred fifty-two billion, nine hundred six million, five hundred seventy-six thousand".