252263649680 has 40 divisors (see below), whose sum is σ = 670300556352. Its totient is φ = 86490393984.

The previous prime is 252263649643. The next prime is 252263649709. The reversal of 252263649680 is 86946362252.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225234842 + ... + 225235961.

Almost surely, 2^252263649680 is an apocalyptic number.

252263649680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252263649680 is an abundant number, since it is smaller than the sum of its proper divisors (418036906672).

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

252263649680 is a wasteful number, since it uses less digits than its factorization.

252263649680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450470823 (or 450470817 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 53.

The spelling of 252263649680 in words is "two hundred fifty-two billion, two hundred sixty-three million, six hundred forty-nine thousand, six hundred eighty".