252261555600 has 60 divisors (see below), whose sum is σ = 808077853616. Its totient is φ = 67269747840.

The previous prime is 252261555587. The next prime is 252261555631. The reversal of 252261555600 is 6555162252.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105107782 + ... + 105110181.

Almost surely, 2^252261555600 is an apocalyptic number.

252261555600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252261555600 is an abundant number, since it is smaller than the sum of its proper divisors (555816298016).

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

252261555600 is a wasteful number, since it uses less digits than its factorization.

252261555600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210217984 (or 210217973 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 252261555600 in words is "two hundred fifty-two billion, two hundred sixty-one million, five hundred fifty-five thousand, six hundred".