11565816680320 has 64 divisors (see below), whose sum is σ = 31599463442400. Its totient is φ = 3965422860288.

The previous prime is 11565816680317. The next prime is 11565816680329. The reversal of 11565816680320 is 2308661856511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11565816680329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1290823275 + ... + 1290832234.

Almost surely, 2^{11565816680320} is an apocalyptic number.

11565816680320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11565816680320 is an abundant number, since it is smaller than the sum of its proper divisors (20033646762080).

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

11565816680320 is an equidigital number, since it uses as much as digits as its factorization.

11565816680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581655535 (or 2581655523 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 52.

The spelling of 11565816680320 in words is "eleven trillion, five hundred sixty-five billion, eight hundred sixteen million, six hundred eighty thousand, three hundred twenty".