58738135872 has 224 divisors, whose sum is σ = 170153746560. Its totient is φ = 17774346240.

The previous prime is 58738135861. The next prime is 58738135913. The reversal of 58738135872 is 27853183785.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58213704 + ... + 58214712.

It is an arithmetic number, because the mean of its divisors is an integer number (759614940).

Almost surely, 2^58738135872 is an apocalyptic number.

58738135872 is a gapful number since it is divisible by the number (52) 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 58738135872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85076873280).

58738135872 is an abundant number, since it is smaller than the sum of its proper divisors (111415610688).

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

58738135872 is a wasteful number, since it uses less digits than its factorization.

58738135872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1391 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 57.

The spelling of 58738135872 in words is "fifty-eight billion, seven hundred thirty-eight million, one hundred thirty-five thousand, eight hundred seventy-two".