252164601600 has 108 divisors (see below), whose sum is σ = 832195782936. Its totient is φ = 67243888640.

The previous prime is 252164601571. The next prime is 252164601649. The reversal of 252164601600 is 6106461252.

252164601600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6547587 + ... + 6585986.

Almost surely, 2^252164601600 is an apocalyptic number.

252164601600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252164601600 is an abundant number, since it is smaller than the sum of its proper divisors (580031181336).

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

252164601600 is a wasteful number, since it uses less digits than its factorization.

252164601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13133602 (or 13133583 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 252164601600 in words is "two hundred fifty-two billion, one hundred sixty-four million, six hundred one thousand, six hundred".