58605870960 has 480 divisors, whose sum is σ = 244043130240. Its totient is φ = 12273057792.

The previous prime is 58605870821. The next prime is 58605870971. The reversal of 58605870960 is 6907850685.

58605870960 is a `hidden beast` number, since 58 + 6 + 0 + 587 + 0 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×58605870960² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 58605870897 and 58605870906.

It is a congruent number.

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, 8972976 + ... + 8979504.

It is an arithmetic number, because the mean of its divisors is an integer number (508423188).

Almost surely, 2^58605870960 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 58605870960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122021565120).

58605870960 is an abundant number, since it is smaller than the sum of its proper divisors (185437259280).

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

58605870960 is a wasteful number, since it uses less digits than its factorization.

58605870960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6705 (or 6696 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 58605870960 in words is "fifty-eight billion, six hundred five million, eight hundred seventy thousand, nine hundred sixty".