11579894496 has 144 divisors (see below), whose sum is σ = 34250776560. Its totient is φ = 3708149760.

The previous prime is 11579894461. The next prime is 11579894507. The reversal of 11579894496 is 69449897511.

11579894496 is a `hidden beast` number, since 1 + 1 + 57 + 9 + 8 + 94 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 747760 + ... + 763088.

It is an arithmetic number, because the mean of its divisors is an integer number (237852615).

Almost surely, 2^11579894496 is an apocalyptic number.

11579894496 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 11579894496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17125388280).

11579894496 is an abundant number, since it is smaller than the sum of its proper divisors (22670882064).

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

11579894496 is a wasteful number, since it uses less digits than its factorization.

11579894496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15449 (or 15438 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 63.

The spelling of 11579894496 in words is "eleven billion, five hundred seventy-nine million, eight hundred ninety-four thousand, four hundred ninety-six".