52116556800 has 792 divisors, whose sum is σ = 218759123520. Its totient is φ = 10820812800.

The previous prime is 52116556747. The next prime is 52116556831. The reversal of 52116556800 is 865561125.

It is a super-2 number, since 2×52116556800² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41394571 + ... + 41395829.

Almost surely, 2^52116556800 is an apocalyptic number.

52116556800 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 52116556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109379561760).

52116556800 is an abundant number, since it is smaller than the sum of its proper divisors (166642566720).

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

52116556800 is a wasteful number, since it uses less digits than its factorization.

52116556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 39.

The spelling of 52116556800 in words is "fifty-two billion, one hundred sixteen million, five hundred fifty-six thousand, eight hundred".