58827876480 has 320 divisors, whose sum is σ = 219223540800. Its totient is φ = 15005067264.

The previous prime is 58827876479. The next prime is 58827876521. The reversal of 58827876480 is 8467872885.

58827876480 is a `hidden beast` number, since 5 + 8 + 82 + 7 + 8 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×58827876480² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1167651 + ... + 1216989.

It is an arithmetic number, because the mean of its divisors is an integer number (685073565).

Almost surely, 2^58827876480 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 58827876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109611770400).

58827876480 is an abundant number, since it is smaller than the sum of its proper divisors (160395664320).

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

58827876480 is a wasteful number, since it uses less digits than its factorization.

58827876480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49393 (or 49372 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 58827876480 in words is "fifty-eight billion, eight hundred twenty-seven million, eight hundred seventy-six thousand, four hundred eighty".