13668962580 has 432 divisors, whose sum is σ = 52520242320. Its totient is φ = 2851946496.

The previous prime is 13668962521. The next prime is 13668962611. The reversal of 13668962580 is 8526986631.

It is a happy number.

13668962580 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 8 + 9 + 625 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26255376 + 13642707204 = 5124^2 + 116802^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11121406 + ... + 11122634.

It is an arithmetic number, because the mean of its divisors is an integer number (121574635).

Almost surely, 2^13668962580 is an apocalyptic number.

13668962580 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 13668962580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26260121160).

13668962580 is an abundant number, since it is smaller than the sum of its proper divisors (38851279740).

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

13668962580 is a wasteful number, since it uses less digits than its factorization.

13668962580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 13668962580 in words is "thirteen billion, six hundred sixty-eight million, nine hundred sixty-two thousand, five hundred eighty".