252492976960 has 224 divisors, whose sum is σ = 718020237312. Its totient is φ = 82689361920.

The previous prime is 252492976927. The next prime is 252492976961. The reversal of 252492976960 is 69679294252.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252492976961) 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, 41779699 + ... + 41785741.

It is an arithmetic number, because the mean of its divisors is an integer number (3205447488).

Almost surely, 2^252492976960 is an apocalyptic number.

252492976960 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 252492976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359010118656).

252492976960 is an abundant number, since it is smaller than the sum of its proper divisors (465527260352).

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

252492976960 is a wasteful number, since it uses less digits than its factorization.

252492976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6901 (or 6891 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 61.

The spelling of 252492976960 in words is "two hundred fifty-two billion, four hundred ninety-two million, nine hundred seventy-six thousand, nine hundred sixty".