59456460960 has 576 divisors, whose sum is σ = 241444240128. Its totient is φ = 13174013952.

The previous prime is 59456460919. The next prime is 59456460991. The reversal of 59456460960 is 6906465495.

59456460960 is a `hidden beast` number, since 5 + 94 + 5 + 6 + 460 + 96 + 0 = 666.

59456460960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 59456460897 and 59456460906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7315459 + ... + 7323581.

It is an arithmetic number, because the mean of its divisors is an integer number (419174028).

Almost surely, 2^59456460960 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 59456460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120722120064).

59456460960 is an abundant number, since it is smaller than the sum of its proper divisors (181987779168).

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

59456460960 is a wasteful number, since it uses less digits than its factorization.

59456460960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8197 (or 8186 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 59456460960 in words is "fifty-nine billion, four hundred fifty-six million, four hundred sixty thousand, nine hundred sixty".