52039510174400 has 168 divisors, whose sum is σ = 146348066862336. Its totient is φ = 17841443558400.

The previous prime is 52039510174381. The next prime is 52039510174429. The reversal of 52039510174400 is 447101593025.

It is a super-2 number, since 2×52039510174400² (a number of 28 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 363558845 + ... + 363701955.

Almost surely, 2^{52039510174400} is an apocalyptic number.

52039510174400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52039510174400 is an abundant number, since it is smaller than the sum of its proper divisors (94308556687936).

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

52039510174400 is a wasteful number, since it uses less digits than its factorization.

52039510174400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175607 (or 175592 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The spelling of 52039510174400 in words is "fifty-two trillion, thirty-nine billion, five hundred ten million, one hundred seventy-four thousand, four hundred".