11568697920 has 336 divisors, whose sum is σ = 43101322992. Its totient is φ = 2831155200.

The previous prime is 11568697913. The next prime is 11568697937. The reversal of 11568697920 is 2979686511.

11568697920 is a `hidden beast` number, since 1 + 1 + 568 + 6 + 9 + 79 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13307904 + 11555390016 = 3648^2 + 107496^2 .

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, 7225120 + ... + 7226720.

It is an arithmetic number, because the mean of its divisors is an integer number (128277747).

Almost surely, 2^11568697920 is an apocalyptic number.

11568697920 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 11568697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21550661496).

11568697920 is an abundant number, since it is smaller than the sum of its proper divisors (31532625072).

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

11568697920 is a wasteful number, since it uses less digits than its factorization.

11568697920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 11568697920 in words is "eleven billion, five hundred sixty-eight million, six hundred ninety-seven thousand, nine hundred twenty".