13879566562680 has 512 divisors, whose sum is σ = 57153600000000. Its totient is φ = 2917544085504.

The previous prime is 13879566562651. The next prime is 13879566562711. The reversal of 13879566562680 is 8626566597831.

13879566562680 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 9 + 56 + 6 + 562 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 13879566562599 and 13879566562608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26174821 + ... + 26699819.

It is an arithmetic number, because the mean of its divisors is an integer number (111628125000).

Almost surely, 2^{13879566562680} is an apocalyptic number.

13879566562680 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 13879566562680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28576800000000).

13879566562680 is an abundant number, since it is smaller than the sum of its proper divisors (43274033437320).

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

13879566562680 is a wasteful number, since it uses less digits than its factorization.

13879566562680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525308 (or 525298 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 13879566562680 in words is "thirteen trillion, eight hundred seventy-nine billion, five hundred sixty-six million, five hundred sixty-two thousand, six hundred eighty".