58937725440 has 1080 divisors, whose sum is σ = 241012191420. Its totient is φ = 13795246080.

The previous prime is 58937725421. The next prime is 58937725453. The reversal of 58937725440 is 4452773985.

It is a happy number.

58937725440 is a `hidden beast` number, since 5 + 8 + 93 + 7 + 7 + 2 + 544 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58734491904 + 203233536 = 242352^2 + 14256^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2032335346 + ... + 2032335374.

Almost surely, 2^58937725440 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 58937725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120506095710).

58937725440 is an abundant number, since it is smaller than the sum of its proper divisors (182074465980).

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

58937725440 is an frugal number, since it uses more digits than its factorization.

58937725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 58937725440 in words is "fifty-eight billion, nine hundred thirty-seven million, seven hundred twenty-five thousand, four hundred forty".