59132166912 has 360 divisors, whose sum is σ = 217017906336. Its totient is φ = 15594799104.

The previous prime is 59132166883. The next prime is 59132166913. The reversal of 59132166912 is 21966123195.

59132166912 is a `hidden beast` number, since 591 + 32 + 16 + 6 + 9 + 12 = 666.

It is a super-2 number, since 2×59132166912² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (59132166913) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1871308 + ... + 1902644.

Almost surely, 2^59132166912 is an apocalyptic number.

59132166912 is a gapful number since it is divisible by the number (52) 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 59132166912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108508953168).

59132166912 is an abundant number, since it is smaller than the sum of its proper divisors (157885739424).

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

59132166912 is a wasteful number, since it uses less digits than its factorization.

59132166912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31385 (or 31362 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The spelling of 59132166912 in words is "fifty-nine billion, one hundred thirty-two million, one hundred sixty-six thousand, nine hundred twelve".