58313628864 has 280 divisors, whose sum is σ = 181842997248. Its totient is φ = 18441561600.

The previous prime is 58313628847. The next prime is 58313628917. The reversal of 58313628864 is 46882631385.

58313628864 is a `hidden beast` number, since 5 + 8 + 3 + 1 + 3 + 628 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×58313628864² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 58313628864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15140539 + ... + 15144389.

Almost surely, 2^58313628864 is an apocalyptic number.

58313628864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58313628864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90921498624).

58313628864 is an abundant number, since it is smaller than the sum of its proper divisors (123529368384).

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

58313628864 is a wasteful number, since it uses less digits than its factorization.

58313628864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4025 (or 4006 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 58313628864 in words is "fifty-eight billion, three hundred thirteen million, six hundred twenty-eight thousand, eight hundred sixty-four".