58035428652960 has 288 divisors, whose sum is σ = 223268531250240. Its totient is φ = 14069194698240.

The previous prime is 58035428652911. The next prime is 58035428652961. The reversal of 58035428652960 is 6925682453085.

58035428652960 is a `hidden beast` number, since 5 + 8 + 0 + 3 + 5 + 42 + 8 + 6 + 529 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×58035428652960² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (58035428652961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54990202 + ... + 56035641.

It is an arithmetic number, because the mean of its divisors is an integer number (775237955730).

Almost surely, 2^{58035428652960} is an apocalyptic number.

It is an amenable number.

58035428652960 is an abundant number, since it is smaller than the sum of its proper divisors (165233102597280).

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

58035428652960 is a wasteful number, since it uses less digits than its factorization.

58035428652960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111025889 (or 111025864 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 58035428652960 in words is "fifty-eight trillion, thirty-five billion, four hundred twenty-eight million, six hundred fifty-two thousand, nine hundred sixty".