11569798056960 has 3168 divisors, whose sum is σ = 51753651855360. Its totient is φ = 2364899328000.

The previous prime is 11569798056937. The next prime is 11569798057061. The reversal of 11569798056960 is 6965089796511.

11569798056960 is a `hidden beast` number, since 1 + 1 + 56 + 9 + 7 + 9 + 8 + 0 + 569 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 42692981625 + ... + 42692981895.

Almost surely, 2^{11569798056960} is an apocalyptic number.

11569798056960 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 11569798056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25876825927680).

11569798056960 is an abundant number, since it is smaller than the sum of its proper divisors (40183853798400).

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

11569798056960 is a wasteful number, since it uses less digits than its factorization.

11569798056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 220449600, while the sum is 72.

The spelling of 11569798056960 in words is "eleven trillion, five hundred sixty-nine billion, seven hundred ninety-eight million, fifty-six thousand, nine hundred sixty".