13806089544960 has 1296 divisors, whose sum is σ = 51473633912064. Its totient is φ = 3415519789056.

The previous prime is 13806089544959. The next prime is 13806089544997. The reversal of 13806089544960 is 6944598060831.

13806089544960 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 6 + 0 + 89 + 544 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×13806089544960² (a number of 27 digits) contains 22 as substring.

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, 71534142624 + ... + 71534142816.

Almost surely, 2^{13806089544960} is an apocalyptic number.

13806089544960 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 13806089544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25736816956032).

13806089544960 is an abundant number, since it is smaller than the sum of its proper divisors (37667544367104).

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

13806089544960 is a wasteful number, since it uses less digits than its factorization.

13806089544960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 13806089544960 in words is "thirteen trillion, eight hundred six billion, eighty-nine million, five hundred forty-four thousand, nine hundred sixty".