58377813120 has 768 divisors, whose sum is σ = 235090252800. Its totient is φ = 13199155200.

The previous prime is 58377813107. The next prime is 58377813149. The reversal of 58377813120 is 2131877385.

58377813120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 85472299 + ... + 85472981.

It is an arithmetic number, because the mean of its divisors is an integer number (306107100).

Almost surely, 2^58377813120 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 58377813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117545126400).

58377813120 is an abundant number, since it is smaller than the sum of its proper divisors (176712439680).

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

58377813120 is a wasteful number, since it uses less digits than its factorization.

58377813120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 58377813120 in words is "fifty-eight billion, three hundred seventy-seven million, eight hundred thirteen thousand, one hundred twenty".