58013577216 has 416 divisors, whose sum is σ = 198219578880. Its totient is φ = 16424239104.

The previous prime is 58013577197. The next prime is 58013577221. The reversal of 58013577216 is 61277531085.

It is a happy number.

58013577216 is a `hidden beast` number, since 5 + 80 + 1 + 357 + 7 + 216 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106057455 + ... + 106058001.

Almost surely, 2^58013577216 is an apocalyptic number.

58013577216 is a gapful number since it is divisible by the number (56) 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 58013577216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99109789440).

58013577216 is an abundant number, since it is smaller than the sum of its proper divisors (140206001664).

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

58013577216 is a wasteful number, since it uses less digits than its factorization.

58013577216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 58013577216 in words is "fifty-eight billion, thirteen million, five hundred seventy-seven thousand, two hundred sixteen".