13709558984160 has 768 divisors, whose sum is σ = 49724351373312. Its totient is φ = 3148637184000.

The previous prime is 13709558984153. The next prime is 13709558984161. The reversal of 13709558984160 is 6148985590731.

It is a super-2 number, since 2×13709558984160² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13709558984091 and 13709558984100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13709558984161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8954642595 + ... + 8954644125.

It is an arithmetic number, because the mean of its divisors is an integer number (64745249184).

Almost surely, 2^{13709558984160} is an apocalyptic number.

13709558984160 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 13709558984160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24862175686656).

13709558984160 is an abundant number, since it is smaller than the sum of its proper divisors (36014792389152).

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

13709558984160 is a wasteful number, since it uses less digits than its factorization.

13709558984160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3079 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 66.

The spelling of 13709558984160 in words is "thirteen trillion, seven hundred nine billion, five hundred fifty-eight million, nine hundred eighty-four thousand, one hundred sixty".