58615608960 has 256 divisors, whose sum is σ = 208379635200. Its totient is φ = 15571906560.

The previous prime is 58615608943. The next prime is 58615608967. The reversal of 58615608960 is 6980651685.

It is a happy number.

58615608960 is a `hidden beast` number, since 586 + 1 + 56 + 0 + 8 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×58615608960² (a number of 22 digits) contains 22 as substring.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 58615608897 and 58615608906.

It is not an unprimeable number, because it can be changed into a prime (58615608967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4676622 + ... + 4689138.

It is an arithmetic number, because the mean of its divisors is an integer number (813982950).

Almost surely, 2^58615608960 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 58615608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104189817600).

58615608960 is an abundant number, since it is smaller than the sum of its proper divisors (149764026240).

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

58615608960 is a wasteful number, since it uses less digits than its factorization.

58615608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12816 (or 12798 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 58615608960 in words is "fifty-eight billion, six hundred fifteen million, six hundred eight thousand, nine hundred sixty".