58014727680 has 1280 divisors, whose sum is σ = 255403653120. Its totient is φ = 10871635968.

The previous prime is 58014727669. The next prime is 58014727721. The reversal of 58014727680 is 8672741085.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 225738112 + ... + 225738368.

It is an arithmetic number, because the mean of its divisors is an integer number (199534104).

Almost surely, 2^58014727680 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 58014727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127701826560).

58014727680 is an abundant number, since it is smaller than the sum of its proper divisors (197388925440).

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

58014727680 is a wasteful number, since it uses less digits than its factorization.

58014727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 58014727680 in words is "fifty-eight billion, fourteen million, seven hundred twenty-seven thousand, six hundred eighty".