11564802720 has 144 divisors (see below), whose sum is σ = 39493169352. Its totient is φ = 3081738240.

The previous prime is 11564802703. The next prime is 11564802737. The reversal of 11564802720 is 2720846511.

11564802720 is a `hidden beast` number, since 1 + 1 + 5 + 648 + 0 + 2 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11564802703) and next prime (11564802737).

It can be written as a sum of positive squares in 4 ways, for example, as 8898526224 + 2666276496 = 94332^2 + 51636^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3426954 + ... + 3430326.

Almost surely, 2^11564802720 is an apocalyptic number.

11564802720 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 11564802720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19746584676).

11564802720 is an abundant number, since it is smaller than the sum of its proper divisors (27928366632).

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

11564802720 is a wasteful number, since it uses less digits than its factorization.

11564802720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5775 (or 5764 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 11564802720 in words is "eleven billion, five hundred sixty-four million, eight hundred two thousand, seven hundred twenty".