252629193379920 has 240 divisors, whose sum is σ = 950621015468160. Its totient is φ = 55233214891008.

The previous prime is 252629193379907. The next prime is 252629193379949. The reversal of 252629193379920 is 29973391926252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466731135 + ... + 467272094.

It is an arithmetic number, because the mean of its divisors is an integer number (3960920897784).

Almost surely, 2^{252629193379920} is an apocalyptic number.

252629193379920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252629193379920 is an abundant number, since it is smaller than the sum of its proper divisors (697991822088240).

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

252629193379920 is a wasteful number, since it uses less digits than its factorization.

252629193379920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934003282 (or 934003269 counting only the distinct ones).

The product of its (nonzero) digits is 198404640, while the sum is 69.

The spelling of 252629193379920 in words is "two hundred fifty-two trillion, six hundred twenty-nine billion, one hundred ninety-three million, three hundred seventy-nine thousand, nine hundred twenty".