13281559680 has 128 divisors (see below), whose sum is σ = 43367788800. Its totient is φ = 3455344640.

The previous prime is 13281559661. The next prime is 13281559747. The reversal of 13281559680 is 8695518231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5640 + ... + 163079.

It is an arithmetic number, because the mean of its divisors is an integer number (338810850).

Almost surely, 2^13281559680 is an apocalyptic number.

13281559680 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 13281559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21683894400).

13281559680 is an abundant number, since it is smaller than the sum of its proper divisors (30086229120).

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

13281559680 is a wasteful number, since it uses less digits than its factorization.

13281559680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168782 (or 168770 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The spelling of 13281559680 in words is "thirteen billion, two hundred eighty-one million, five hundred fifty-nine thousand, six hundred eighty".