15979106880 has 672 divisors, whose sum is σ = 62307947520. Its totient is φ = 3725660160.

The previous prime is 15979106863. The next prime is 15979106909. The reversal of 15979106880 is 8860197951.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155136909 + ... + 155137011.

It is an arithmetic number, because the mean of its divisors is an integer number (92720160).

Almost surely, 2^15979106880 is an apocalyptic number.

15979106880 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 15979106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31153973760).

15979106880 is an abundant number, since it is smaller than the sum of its proper divisors (46328840640).

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

15979106880 is a wasteful number, since it uses less digits than its factorization.

15979106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 15979106880 in words is "fifteen billion, nine hundred seventy-nine million, one hundred six thousand, eight hundred eighty".