58208071680 has 624 divisors, whose sum is σ = 231843306240. Its totient is φ = 13359513600.

The previous prime is 58208071679. The next prime is 58208071729. The reversal of 58208071680 is 8617080285.

58208071680 is a `hidden beast` number, since 582 + 0 + 8 + 0 + 7 + 1 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38522125 + ... + 38523635.

It is an arithmetic number, because the mean of its divisors is an integer number (371543760).

Almost surely, 2^58208071680 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 58208071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115921653120).

58208071680 is an abundant number, since it is smaller than the sum of its proper divisors (173635234560).

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

58208071680 is a wasteful number, since it uses less digits than its factorization.

58208071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 58208071680 in words is "fifty-eight billion, two hundred eight million, seventy-one thousand, six hundred eighty".