11445661566560 has 96 divisors (see below), whose sum is σ = 29613970824480. Its totient is φ = 4154461728768.

The previous prime is 11445661566551. The next prime is 11445661566587. The reversal of 11445661566560 is 6566516654411.

It is a junction number, because it is equal to n+sod(n) for n = 11445661566496 and 11445661566505.

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, 46510517 + ... + 46755956.

It is an arithmetic number, because the mean of its divisors is an integer number (308478862755).

Almost surely, 2^{11445661566560} is an apocalyptic number.

11445661566560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11445661566560 is an abundant number, since it is smaller than the sum of its proper divisors (18168309257920).

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

11445661566560 is a wasteful number, since it uses less digits than its factorization.

11445661566560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93266560 (or 93266552 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 56.

The spelling of 11445661566560 in words is "eleven trillion, four hundred forty-five billion, six hundred sixty-one million, five hundred sixty-six thousand, five hundred sixty".