58172616100 has 81 divisors (see below), whose sum is σ = 128141720931. Its totient is φ = 22922697600.

The previous prime is 58172616097. The next prime is 58172616109. The reversal of 58172616100 is 161627185.

The square root of 58172616100 is 241190.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12105720676 + 46066895424 = 110026^2 + 214632^2 .

It is a super-3 number, since 3×58172616100³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 58172616100.

It is not an unprimeable number, because it can be changed into a prime (58172616109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 214658965 + ... + 214659235.

Almost surely, 2^58172616100 is an apocalyptic number.

58172616100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

58172616100 is the 241190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58172616100

58172616100 is an abundant number, since it is smaller than the sum of its proper divisors (69969104831).

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

58172616100 is an equidigital number, since it uses as much as digits as its factorization.

58172616100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The spelling of 58172616100 in words is "fifty-eight billion, one hundred seventy-two million, six hundred sixteen thousand, one hundred".