52117516800 has 480 divisors, whose sum is σ = 201390235200. Its totient is φ = 13164871680.

The previous prime is 52117516799. The next prime is 52117516807. The reversal of 52117516800 is 861571125.

52117516800 is a `hidden beast` number, since 52 + 1 + 17 + 516 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (52117516807) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6562432 + ... + 6570368.

It is an arithmetic number, because the mean of its divisors is an integer number (419562990).

Almost surely, 2^52117516800 is an apocalyptic number.

52117516800 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 52117516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100695117600).

52117516800 is an abundant number, since it is smaller than the sum of its proper divisors (149272718400).

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

52117516800 is a wasteful number, since it uses less digits than its factorization.

52117516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7993 (or 7966 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 52117516800 in words is "fifty-two billion, one hundred seventeen million, five hundred sixteen thousand, eight hundred".