11579963512560 has 80 divisors (see below), whose sum is σ = 37135745079840. Its totient is φ = 2981507845120.

The previous prime is 11579963512541. The next prime is 11579963512597. The reversal of 11579963512560 is 6521536997511.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 11579963512494 and 11579963512503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 831886971 + ... + 831900890.

It is an arithmetic number, because the mean of its divisors is an integer number (464196813498).

Almost surely, 2^{11579963512560} is an apocalyptic number.

11579963512560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11579963512560 is an abundant number, since it is smaller than the sum of its proper divisors (25555781567280).

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

11579963512560 is a wasteful number, since it uses less digits than its factorization.

11579963512560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663787906 (or 1663787900 counting only the distinct ones).

The product of its (nonzero) digits is 15309000, while the sum is 60.

The spelling of 11579963512560 in words is "eleven trillion, five hundred seventy-nine billion, nine hundred sixty-three million, five hundred twelve thousand, five hundred sixty".