52112932416 has 392 divisors, whose sum is σ = 161829195264. Its totient is φ = 16624465920.

The previous prime is 52112932393. The next prime is 52112932441. The reversal of 52112932416 is 61423921125.

52112932416 is a `hidden beast` number, since 5 + 211 + 29 + 3 + 2 + 416 = 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 55 ways as a sum of consecutive naturals, for example, 198147901 + ... + 198148163.

Almost surely, 2^52112932416 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 52112932416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80914597632).

52112932416 is an abundant number, since it is smaller than the sum of its proper divisors (109716262848).

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

52112932416 is a wasteful number, since it uses less digits than its factorization.

52112932416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 436 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 52112932416 in words is "fifty-two billion, one hundred twelve million, nine hundred thirty-two thousand, four hundred sixteen".