11079615456 has 480 divisors, whose sum is σ = 40571435520. Its totient is φ = 2888193024.

The previous prime is 11079615451. The next prime is 11079615467. The reversal of 11079615456 is 65451697011.

11079615456 is a `hidden beast` number, since 1 + 10 + 7 + 96 + 1 + 545 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11079615451) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25238085 + ... + 25238523.

It is an arithmetic number, because the mean of its divisors is an integer number (84523824).

Almost surely, 2^11079615456 is an apocalyptic number.

11079615456 is a gapful number since it is divisible by the number (16) 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 11079615456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20285717760).

11079615456 is an abundant number, since it is smaller than the sum of its proper divisors (29491820064).

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

11079615456 is a wasteful number, since it uses less digits than its factorization.

11079615456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 11079615456 in words is "eleven billion, seventy-nine million, six hundred fifteen thousand, four hundred fifty-six".