52951496043600 has 4320 divisors, whose sum is σ = 256339953192960. Its totient is φ = 9970200576000.

The previous prime is 52951496043599. The next prime is 52951496043617. The reversal of 52951496043600 is 634069415925.

52951496043600 is a `hidden beast` number, since 5 + 2 + 9 + 5 + 149 + 60 + 436 + 0 + 0 = 666.

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 863 ways as a sum of consecutive naturals, for example, 122289828984 + ... + 122289829416.

It is an arithmetic number, because the mean of its divisors is an integer number (59337952128).

Almost surely, 2^{52951496043600} is an apocalyptic number.

52951496043600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52951496043600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128169976596480).

52951496043600 is an abundant number, since it is smaller than the sum of its proper divisors (203388457149360).

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

52951496043600 is a wasteful number, since it uses less digits than its factorization.

52951496043600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 52951496043600 in words is "fifty-two trillion, nine hundred fifty-one billion, four hundred ninety-six million, forty-three thousand, six hundred".