59358804960 has 768 divisors, whose sum is σ = 241904517120. Its totient is φ = 11898593280.

The previous prime is 59358804941. The next prime is 59358804977. The reversal of 59358804960 is 6940885395.

It is a self number, because there is not a number n which added to its sum of digits gives 59358804960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79890349 + ... + 79891091.

It is an arithmetic number, because the mean of its divisors is an integer number (314979840).

Almost surely, 2^59358804960 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 59358804960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120952258560).

59358804960 is an abundant number, since it is smaller than the sum of its proper divisors (182545712160).

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

59358804960 is a wasteful number, since it uses less digits than its factorization.

59358804960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 57.

The spelling of 59358804960 in words is "fifty-nine billion, three hundred fifty-eight million, eight hundred four thousand, nine hundred sixty".