52986744518400 has 5184 divisors, whose sum is σ = 261603576299520. Its totient is φ = 10174906368000.

The previous prime is 52986744518347. The next prime is 52986744518417. The reversal of 52986744518400 is 481544768925.

It is a happy number.

52986744518400 is a `hidden beast` number, since 5 + 2 + 9 + 8 + 6 + 7 + 445 + 184 + 0 + 0 = 666.

52986744518400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 514434412749 + ... + 514434412851.

Almost surely, 2^{52986744518400} is an apocalyptic number.

52986744518400 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 52986744518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130801788149760).

52986744518400 is an abundant number, since it is smaller than the sum of its proper divisors (208616831781120).

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

52986744518400 is a wasteful number, since it uses less digits than its factorization.

52986744518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 52986744518400 in words is "fifty-two trillion, nine hundred eighty-six billion, seven hundred forty-four million, five hundred eighteen thousand, four hundred".