19580713500100 has 27 divisors (see below), whose sum is σ = 42490244318151. Its totient is φ = 7832267700000.

The previous prime is 19580713500053. The next prime is 19580713500157. The reversal of 19580713500100 is 100531708591.

The square root of 19580713500100 is 4425010.

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 42474736836 + 19538238763264 = 206094^2 + 4420208^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44028850 + ... + 44471350.

Almost surely, 2^{19580713500100} is an apocalyptic number.

19580713500100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19580713500100 is the 4425010-th square number.

It is an amenable number.

19580713500100 is an abundant number, since it is smaller than the sum of its proper divisors (22909530818051).

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

19580713500100 is an frugal number, since it uses more digits than its factorization.

19580713500100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885016 (or 442508 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 40.

The spelling of 19580713500100 in words is "nineteen trillion, five hundred eighty billion, seven hundred thirteen million, five hundred thousand, one hundred".