13116440880 has 240 divisors, whose sum is σ = 44937852960. Its totient is φ = 3427909632.

The previous prime is 13116440839. The next prime is 13116440923. The reversal of 13116440880 is 8804461131.

It is a happy number.

13116440880 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 644 + 0 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7611699 + ... + 7613421.

It is an arithmetic number, because the mean of its divisors is an integer number (187241054).

Almost surely, 2^13116440880 is an apocalyptic number.

13116440880 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 13116440880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22468926480).

13116440880 is an abundant number, since it is smaller than the sum of its proper divisors (31821412080).

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

13116440880 is a wasteful number, since it uses less digits than its factorization.

13116440880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 13116440880 in words is "thirteen billion, one hundred sixteen million, four hundred forty thousand, eight hundred eighty".