16972878400 has 63 divisors (see below), whose sum is σ = 41776715659. Its totient is φ = 6787066880.

The previous prime is 16972878379. The next prime is 16972878427. The reversal of 16972878400 is 487827961.

The square root of 16972878400 is 130280.

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 1084780096 + 15888098304 = 32936^2 + 126048^2 .

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, 5209572 + ... + 5212828.

Almost surely, 2^16972878400 is an apocalyptic number.

16972878400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16972878400 is the 130280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16972878400

16972878400 is an abundant number, since it is smaller than the sum of its proper divisors (24803837259).

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

16972878400 is an frugal number, since it uses more digits than its factorization.

16972878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6536 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 52.

The spelling of 16972878400 in words is "sixteen billion, nine hundred seventy-two million, eight hundred seventy-eight thousand, four hundred".