11568716640 has 576 divisors, whose sum is σ = 44982677376. Its totient is φ = 2686058496.

The previous prime is 11568716633. The next prime is 11568716659. The reversal of 11568716640 is 4661786511.

11568716640 is a `hidden beast` number, since 11 + 568 + 7 + 16 + 64 + 0 = 666.

It is a super-2 number, since 2×11568716640² (a number of 21 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 41764182 + ... + 41764458.

It is an arithmetic number, because the mean of its divisors is an integer number (78094926).

Almost surely, 2^11568716640 is an apocalyptic number.

11568716640 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 11568716640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22491338688).

11568716640 is an abundant number, since it is smaller than the sum of its proper divisors (33413960736).

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

11568716640 is a wasteful number, since it uses less digits than its factorization.

11568716640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 420 counting only the distinct ones).

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

The spelling of 11568716640 in words is "eleven billion, five hundred sixty-eight million, seven hundred sixteen thousand, six hundred forty".