11079662880 has 768 divisors, whose sum is σ = 43698880512. Its totient is φ = 2322432000.

The previous prime is 11079662851. The next prime is 11079662899. The reversal of 11079662880 is 8826697011.

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 127 ways as a sum of consecutive naturals, for example, 87241377 + ... + 87241503.

It is an arithmetic number, because the mean of its divisors is an integer number (56899584).

Almost surely, 2^11079662880 is an apocalyptic number.

11079662880 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 11079662880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21849440256).

11079662880 is an abundant number, since it is smaller than the sum of its proper divisors (32619217632).

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

11079662880 is a wasteful number, since it uses less digits than its factorization.

11079662880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 11079662880 in words is "eleven billion, seventy-nine million, six hundred sixty-two thousand, eight hundred eighty".