58096906560 has 1344 divisors, whose sum is σ = 267551391744. Its totient is φ = 11645337600.

The previous prime is 58096906481. The next prime is 58096906579. The reversal of 58096906560 is 6560969085.

58096906560 is a `hidden beast` number, since 580 + 9 + 6 + 9 + 0 + 6 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 = 58096906497 and 58096906506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 185612964 + ... + 185613276.

It is an arithmetic number, because the mean of its divisors is an integer number (199070976).

Almost surely, 2^58096906560 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 58096906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133775695872).

58096906560 is an abundant number, since it is smaller than the sum of its proper divisors (209454485184).

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

58096906560 is a wasteful number, since it uses less digits than its factorization.

58096906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 58096906560 in words is "fifty-eight billion, ninety-six million, nine hundred six thousand, five hundred sixty".