13889761966080 has 3456 divisors, whose sum is σ = 66691244168640. Its totient is φ = 2627878256640.

The previous prime is 13889761966079. The next prime is 13889761966099. The reversal of 13889761966080 is 8066916798831.

13889761966080 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 9 + 7 + 6 + 1 + 9 + 6 + 608 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 88469821362 + ... + 88469821518.

Almost surely, 2^{13889761966080} is an apocalyptic number.

13889761966080 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 13889761966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33345622084320).

13889761966080 is an abundant number, since it is smaller than the sum of its proper divisors (52801482202560).

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

13889761966080 is a wasteful number, since it uses less digits than its factorization.

13889761966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

It can be divided in two parts, 13889761 and 966080, that added together give a palindrome (14855841).

The spelling of 13889761966080 in words is "thirteen trillion, eight hundred eighty-nine billion, seven hundred sixty-one million, nine hundred sixty-six thousand, eighty".