58379083560 has 256 divisors, whose sum is σ = 222558105600. Its totient is φ = 13334098176.

The previous prime is 58379083559. The next prime is 58379083673. The reversal of 58379083560 is 6538097385.

It is a happy number.

58379083560 is a `hidden beast` number, since 5 + 8 + 3 + 79 + 0 + 8 + 3 + 560 = 666.

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 = 58379083497 and 58379083506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18316287 + ... + 18319473.

It is an arithmetic number, because the mean of its divisors is an integer number (869367600).

Almost surely, 2^58379083560 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 58379083560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111279052800).

58379083560 is an abundant number, since it is smaller than the sum of its proper divisors (164179022040).

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

58379083560 is a wasteful number, since it uses less digits than its factorization.

58379083560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5637 (or 5627 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 58379083560 in words is "fifty-eight billion, three hundred seventy-nine million, eighty-three thousand, five hundred sixty".