13689156880 has 80 divisors (see below), whose sum is σ = 36433918080. Its totient is φ = 4685700096.

The previous prime is 13689156869. The next prime is 13689156889. The reversal of 13689156880 is 8865198631.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (13689156889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325711 + ... + 365329.

It is an arithmetic number, because the mean of its divisors is an integer number (455423976).

Almost surely, 2^13689156880 is an apocalyptic number.

13689156880 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 13689156880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18216959040).

13689156880 is an abundant number, since it is smaller than the sum of its proper divisors (22744761200).

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

13689156880 is a wasteful number, since it uses less digits than its factorization.

13689156880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40256 (or 40250 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 55.

It can be divided in two parts, 13689 and 156880, that added together give a square (170569 = 413²).

The spelling of 13689156880 in words is "thirteen billion, six hundred eighty-nine million, one hundred fifty-six thousand, eight hundred eighty".