11564974080 has 768 divisors, whose sum is σ = 47109703680. Its totient is φ = 2595225600.

The previous prime is 11564974037. The next prime is 11564974121. The reversal of 11564974080 is 8047946511.

11564974080 is a `hidden beast` number, since 1 + 1 + 564 + 9 + 7 + 4 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373063665 + ... + 373063695.

It is an arithmetic number, because the mean of its divisors is an integer number (61340760).

Almost surely, 2^11564974080 is an apocalyptic number.

11564974080 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 11564974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23554851840).

11564974080 is an abundant number, since it is smaller than the sum of its proper divisors (35544729600).

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

11564974080 is a wasteful number, since it uses less digits than its factorization.

11564974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11564974080 in words is "eleven billion, five hundred sixty-four million, nine hundred seventy-four thousand, eighty".