52531741662400 has 336 divisors, whose sum is σ = 173553124389120. Its totient is φ = 15114027110400.

The previous prime is 52531741662397. The next prime is 52531741662403. The reversal of 52531741662400 is 426614713525.

It is an interprime number because it is at equal distance from previous prime (52531741662397) and next prime (52531741662403).

It is not an unprimeable number, because it can be changed into a prime (52531741662403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14798170 + ... + 18001369.

It is an arithmetic number, because the mean of its divisors is an integer number (516527155920).

Almost surely, 2^{52531741662400} is an apocalyptic number.

52531741662400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52531741662400 is an abundant number, since it is smaller than the sum of its proper divisors (121021382726720).

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

52531741662400 is a wasteful number, since it uses less digits than its factorization.

52531741662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32799592 (or 32799577 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 52531741662400 in words is "fifty-two trillion, five hundred thirty-one billion, seven hundred forty-one million, six hundred sixty-two thousand, four hundred".