18960712272100 has 27 divisors (see below), whose sum is σ = 41144840120937. Its totient is φ = 7584267491280.

The previous prime is 18960712272043. The next prime is 18960712272101. The reversal of 18960712272100 is 127221706981.

The square root of 18960712272100 is 4354390.

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

It can be written as a sum of positive squares in only one way, i.e., 6825856417956 + 12134855854144 = 2612634^2 + 3483512^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18960712272101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43326181 + ... + 43761619.

Almost surely, 2^{18960712272100} is an apocalyptic number.

18960712272100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18960712272100 is the 4354390-th square number.

It is an amenable number.

18960712272100 is an abundant number, since it is smaller than the sum of its proper divisors (22184127848837).

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

18960712272100 is an frugal number, since it uses more digits than its factorization.

18960712272100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870892 (or 435446 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 46.

The spelling of 18960712272100 in words is "eighteen trillion, nine hundred sixty billion, seven hundred twelve million, two hundred seventy-two thousand, one hundred".