52132512816 has 320 divisors, whose sum is σ = 165132288000. Its totient is φ = 15673616640.

The previous prime is 52132512799. The next prime is 52132512827. The reversal of 52132512816 is 61821523125.

52132512816 is a `hidden beast` number, since 5 + 2 + 132 + 512 + 8 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51159955 + ... + 51160973.

It is an arithmetic number, because the mean of its divisors is an integer number (516038400).

Almost surely, 2^52132512816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52132512816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82566144000).

52132512816 is an abundant number, since it is smaller than the sum of its proper divisors (112999775184).

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

52132512816 is a wasteful number, since it uses less digits than its factorization.

52132512816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1337 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The spelling of 52132512816 in words is "fifty-two billion, one hundred thirty-two million, five hundred twelve thousand, eight hundred sixteen".