58749872000 has 128 divisors (see below), whose sum is σ = 147040246080. Its totient is φ = 23343360000.

The previous prime is 58749871981. The next prime is 58749872033. The reversal of 58749872000 is 27894785.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×58749872000³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 58749872000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2403842 + ... + 2428158.

Almost surely, 2^58749872000 is an apocalyptic number.

58749872000 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 58749872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73520123040).

58749872000 is an abundant number, since it is smaller than the sum of its proper divisors (88290374080).

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

58749872000 is a wasteful number, since it uses less digits than its factorization.

58749872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24497 (or 24475 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 50.

The spelling of 58749872000 in words is "fifty-eight billion, seven hundred forty-nine million, eight hundred seventy-two thousand".