52158964888800 has 3456 divisors, whose sum is σ = 246224240640000. Its totient is φ = 10532287180800.

The previous prime is 52158964888769. The next prime is 52158964888837. The reversal of 52158964888800 is 888846985125.

52158964888800 is a `hidden beast` number, since 5 + 2 + 1 + 58 + 96 + 488 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 108891366961 + ... + 108891367439.

It is an arithmetic number, because the mean of its divisors is an integer number (71245440000).

Almost surely, 2^{52158964888800} is an apocalyptic number.

52158964888800 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 52158964888800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123112120320000).

52158964888800 is an abundant number, since it is smaller than the sum of its proper divisors (194065275751200).

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

52158964888800 is a wasteful number, since it uses less digits than its factorization.

52158964888800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 353894400, while the sum is 72.

The spelling of 52158964888800 in words is "fifty-two trillion, one hundred fifty-eight billion, nine hundred sixty-four million, eight hundred eighty-eight thousand, eight hundred".