58750725600 has 540 divisors, whose sum is σ = 249245937864. Its totient is φ = 13428011520.

The previous prime is 58750725559. The next prime is 58750725601. The reversal of 58750725600 is 652705785.

58750725600 is a `hidden beast` number, since 5 + 87 + 5 + 0 + 7 + 2 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58750725601) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 3165949 + ... + 3184451.

Almost surely, 2^58750725600 is an apocalyptic number.

58750725600 is a gapful number since it is divisible by the number (50) 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 58750725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124622968932).

58750725600 is an abundant number, since it is smaller than the sum of its proper divisors (190495212264).

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

58750725600 is a wasteful number, since it uses less digits than its factorization.

58750725600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18549 (or 18520 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 58750725600 in words is "fifty-eight billion, seven hundred fifty million, seven hundred twenty-five thousand, six hundred".