58561338100 has 36 divisors (see below), whose sum is σ = 127125261900. Its totient is φ = 23415842560.

The previous prime is 58561338089. The next prime is 58561338131. The reversal of 58561338100 is 183316585.

58561338100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 242064 + 58561096036 = 492^2 + 241994^2 .

It is a super-2 number, since 2×58561338100² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165606 + ... + 380194.

It is an arithmetic number, because the mean of its divisors is an integer number (3531257275).

Almost surely, 2^58561338100 is an apocalyptic number.

58561338100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

58561338100 is an abundant number, since it is smaller than the sum of its proper divisors (68563923800).

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

58561338100 is a wasteful number, since it uses less digits than its factorization.

58561338100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217332 (or 217325 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 58561338100 in words is "fifty-eight billion, five hundred sixty-one million, three hundred thirty-eight thousand, one hundred".