11612384944560 has 80 divisors (see below), whose sum is σ = 39998214816480. Its totient is φ = 3096635984640.

The previous prime is 11612384944549. The next prime is 11612384944571. The reversal of 11612384944560 is 6544948321611.

11612384944560 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 2 + 38 + 4 + 9 + 44 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (11612384944549) and next prime (11612384944571).

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11612384944497 and 11612384944506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2688049911 + ... + 2688054230.

It is an arithmetic number, because the mean of its divisors is an integer number (499977685206).

Almost surely, 2^{11612384944560} is an apocalyptic number.

11612384944560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11612384944560 is an abundant number, since it is smaller than the sum of its proper divisors (28385829871920).

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

11612384944560 is a wasteful number, since it uses less digits than its factorization.

11612384944560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5376104163 (or 5376104151 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 11612384944560 in words is "eleven trillion, six hundred twelve billion, three hundred eighty-four million, nine hundred forty-four thousand, five hundred sixty".