52903317988800 has 1008 divisors, whose sum is σ = 199335585705984. Its totient is φ = 13287214080000.

The previous prime is 52903317988727. The next prime is 52903317988879. The reversal of 52903317988800 is 888971330925.

52903317988800 is a `hidden beast` number, since 5 + 290 + 331 + 7 + 9 + 8 + 8 + 8 + 0 + 0 = 666.

52903317988800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×52903317988800² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3797517835 + ... + 3797531765.

It is an arithmetic number, because the mean of its divisors is an integer number (197753557248).

Almost surely, 2^{52903317988800} is an apocalyptic number.

52903317988800 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 52903317988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99667792852992).

52903317988800 is an abundant number, since it is smaller than the sum of its proper divisors (146432267717184).

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

52903317988800 is a wasteful number, since it uses less digits than its factorization.

52903317988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14218 (or 14200 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 52903317988800 in words is "fifty-two trillion, nine hundred three billion, three hundred seventeen million, nine hundred eighty-eight thousand, eight hundred".