58725316800 has 504 divisors, whose sum is σ = 226430476272. Its totient is φ = 14376960000.

The previous prime is 58725316799. The next prime is 58725316801. The reversal of 58725316800 is 861352785.

58725316800 is a `hidden beast` number, since 58 + 7 + 2 + 531 + 68 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (58725316799) and next prime (58725316801).

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

It is not an unprimeable number, because it can be changed into a prime (58725316801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10033875 + ... + 10039725.

It is an arithmetic number, because the mean of its divisors is an integer number (449266818).

Almost surely, 2^58725316800 is an apocalyptic number.

58725316800 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 58725316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113215238136).

58725316800 is an abundant number, since it is smaller than the sum of its proper divisors (167705159472).

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

58725316800 is a wasteful number, since it uses less digits than its factorization.

58725316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5937 (or 5919 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 58725316800 in words is "fifty-eight billion, seven hundred twenty-five million, three hundred sixteen thousand, eight hundred".