58726668900 has 144 divisors (see below), whose sum is σ = 171293036544. Its totient is φ = 15533934720.

The previous prime is 58726668899. The next prime is 58726668937. The reversal of 58726668900 is 986662785.

58726668900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32213389 + ... + 32215211.

It is an arithmetic number, because the mean of its divisors is an integer number (1189534976).

Almost surely, 2^58726668900 is an apocalyptic number.

58726668900 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 58726668900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85646518272).

58726668900 is an abundant number, since it is smaller than the sum of its proper divisors (112566367644).

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

58726668900 is a wasteful number, since it uses less digits than its factorization.

58726668900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 58726668900 in words is "fifty-eight billion, seven hundred twenty-six million, six hundred sixty-eight thousand, nine hundred".