11079694080 has 864 divisors, whose sum is σ = 48836229120. Its totient is φ = 2329067520.

The previous prime is 11079694057. The next prime is 11079694099. The reversal of 11079694080 is 8049697011.

It is a happy number.

11079694080 is a `hidden beast` number, since 110 + 79 + 69 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 40884345 + ... + 40884615.

Almost surely, 2^11079694080 is an apocalyptic number.

11079694080 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 11079694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24418114560).

11079694080 is an abundant number, since it is smaller than the sum of its proper divisors (37756535040).

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

11079694080 is a wasteful number, since it uses less digits than its factorization.

11079694080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 11079694080 in words is "eleven billion, seventy-nine million, six hundred ninety-four thousand, eighty".