11791306080 has 480 divisors, whose sum is σ = 44556130080. Its totient is φ = 2926264320.

The previous prime is 11791306073. The next prime is 11791306099. The reversal of 11791306080 is 8060319711.

11791306080 is a `hidden beast` number, since 1 + 17 + 9 + 1 + 30 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24014635 + ... + 24015125.

It is an arithmetic number, because the mean of its divisors is an integer number (92825271).

Almost surely, 2^11791306080 is an apocalyptic number.

11791306080 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 11791306080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22278065040).

11791306080 is an abundant number, since it is smaller than the sum of its proper divisors (32764824000).

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

11791306080 is a wasteful number, since it uses less digits than its factorization.

11791306080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 11791306080 in words is "eleven billion, seven hundred ninety-one million, three hundred six thousand, eighty".