58412628576 has 96 divisors (see below), whose sum is σ = 170744122080. Its totient is φ = 19428139008.

The previous prime is 58412628553. The next prime is 58412628607. The reversal of 58412628576 is 67582621485.

58412628576 is a `hidden beast` number, since 5 + 8 + 4 + 1 + 2 + 62 + 8 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 320880 + ... + 468816.

It is an arithmetic number, because the mean of its divisors is an integer number (1778584605).

Almost surely, 2^58412628576 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 58412628576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85372061040).

58412628576 is an abundant number, since it is smaller than the sum of its proper divisors (112331493504).

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

58412628576 is a wasteful number, since it uses less digits than its factorization.

58412628576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148413 (or 148399 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 58412628576 in words is "fifty-eight billion, four hundred twelve million, six hundred twenty-eight thousand, five hundred seventy-six".