58538750400 has 1008 divisors, whose sum is σ = 238347869760. Its totient is φ = 13521715200.

The previous prime is 58538750377. The next prime is 58538750411. The reversal of 58538750400 is 405783585.

58538750400 is a `hidden beast` number, since 5 + 8 + 538 + 75 + 0 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 222580669 + ... + 222580931.

It is an arithmetic number, because the mean of its divisors is an integer number (236456220).

Almost surely, 2^58538750400 is an apocalyptic number.

58538750400 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 58538750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119173934880).

58538750400 is an abundant number, since it is smaller than the sum of its proper divisors (179809119360).

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

58538750400 is a wasteful number, since it uses less digits than its factorization.

58538750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 58538750400 in words is "fifty-eight billion, five hundred thirty-eight million, seven hundred fifty thousand, four hundred".