52117205285376 has 960 divisors, whose sum is σ = 196861628620800. Its totient is φ = 12878062387200.

The previous prime is 52117205285359. The next prime is 52117205285429. The reversal of 52117205285376 is 67358250271125.

52117205285376 is a `hidden beast` number, since 5 + 2 + 11 + 72 + 0 + 5 + 28 + 537 + 6 = 666.

52117205285376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×52117205285376² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 648918310 + ... + 648998618.

It is an arithmetic number, because the mean of its divisors is an integer number (205064196480).

Almost surely, 2^{52117205285376} is an apocalyptic number.

52117205285376 is a gapful number since it is divisible by the number (56) 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 52117205285376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98430814310400).

52117205285376 is an abundant number, since it is smaller than the sum of its proper divisors (144744423335424).

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

52117205285376 is a wasteful number, since it uses less digits than its factorization.

52117205285376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80441 (or 80422 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 52117205285376 in words is "fifty-two trillion, one hundred seventeen billion, two hundred five million, two hundred eighty-five thousand, three hundred seventy-six".