59408112816 has 180 divisors, whose sum is σ = 185017158144. Its totient is φ = 17689224960.

The previous prime is 59408112781. The next prime is 59408112823. The reversal of 59408112816 is 61821180495.

It is a happy number.

59408112816 is a `hidden beast` number, since 59 + 408 + 112 + 81 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1782481 + ... + 1815503.

Almost surely, 2^59408112816 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 59408112816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92508579072).

59408112816 is an abundant number, since it is smaller than the sum of its proper divisors (125609045328).

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

59408112816 is a wasteful number, since it uses less digits than its factorization.

59408112816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33112 (or 33072 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 59408112816 in words is "fifty-nine billion, four hundred eight million, one hundred twelve thousand, eight hundred sixteen".