252993198320 has 20 divisors (see below), whose sum is σ = 588209186280. Its totient is φ = 101197279296.

The previous prime is 252993198313. The next prime is 252993198373. The reversal of 252993198320 is 23891399252.

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1581207410 + ... + 1581207569.

It is an arithmetic number, because the mean of its divisors is an integer number (29410459314).

Almost surely, 2^252993198320 is an apocalyptic number.

252993198320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252993198320 is an abundant number, since it is smaller than the sum of its proper divisors (335215987960).

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

252993198320 is a wasteful number, since it uses less digits than its factorization.

252993198320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162414992 (or 3162414986 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 53.

The spelling of 252993198320 in words is "two hundred fifty-two billion, nine hundred ninety-three million, one hundred ninety-eight thousand, three hundred twenty".