13972998583680 has 256 divisors, whose sum is σ = 44752544064000. Its totient is φ = 3708275228672.

The previous prime is 13972998583597. The next prime is 13972998583681. The reversal of 13972998583680 is 8638589927931.

It is a junction number, because it is equal to n+sod(n) for n = 13972998583596 and 13972998583605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13972998583681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1579043896 + ... + 1579052744.

It is an arithmetic number, because the mean of its divisors is an integer number (174814625250).

Almost surely, 2^{13972998583680} is an apocalyptic number.

13972998583680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13972998583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22376272032000).

13972998583680 is an abundant number, since it is smaller than the sum of its proper divisors (30779545480320).

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

13972998583680 is a wasteful number, since it uses less digits than its factorization.

13972998583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12721 (or 12709 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 78.

The spelling of 13972998583680 in words is "thirteen trillion, nine hundred seventy-two billion, nine hundred ninety-eight million, five hundred eighty-three thousand, six hundred eighty".