58399875072 has 784 divisors, whose sum is σ = 220036534272. Its totient is φ = 15049359360.

The previous prime is 58399875071. The next prime is 58399875119. The reversal of 58399875072 is 27057899385.

58399875072 is a `hidden beast` number, since 5 + 8 + 39 + 98 + 7 + 507 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58399875071) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 459841473 + ... + 459841599.

Almost surely, 2^58399875072 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 58399875072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110018267136).

58399875072 is an abundant number, since it is smaller than the sum of its proper divisors (161636659200).

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

58399875072 is an equidigital number, since it uses as much as digits as its factorization.

58399875072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 58399875072 in words is "fifty-eight billion, three hundred ninety-nine million, eight hundred seventy-five thousand, seventy-two".