13980697600 has 99 divisors (see below), whose sum is σ = 34702158477. Its totient is φ = 5584711680.

The previous prime is 13980697589. The next prime is 13980697607. The reversal of 13980697600 is 679608931.

The square root of 13980697600 is 118240.

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., 5033051136 + 8947646464 = 70944^2 + 94592^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13980697607) 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, 18918031 + ... + 18918769.

Almost surely, 2^13980697600 is an apocalyptic number.

13980697600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13980697600 is the 118240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13980697600

13980697600 is an abundant number, since it is smaller than the sum of its proper divisors (20721460877).

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

13980697600 is an frugal number, since it uses more digits than its factorization.

13980697600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

Multiplying 13980697600 by its sum of digits (49), we get a square (685054182400 = 827680²).

The spelling of 13980697600 in words is "thirteen billion, nine hundred eighty million, six hundred ninety-seven thousand, six hundred".