11568420864 has 1152 divisors, whose sum is σ = 48799296000. Its totient is φ = 2627665920.

The previous prime is 11568420863. The next prime is 11568420889. The reversal of 11568420864 is 46802486511.

It is a happy number.

11568420864 is a `hidden beast` number, since 1 + 1 + 568 + 4 + 2 + 0 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×11568420864² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11568420863) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 608864247 + ... + 608864265.

It is an arithmetic number, because the mean of its divisors is an integer number (42360500).

Almost surely, 2^11568420864 is an apocalyptic number.

11568420864 is a gapful number since it is divisible by the number (14) 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 11568420864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24399648000).

11568420864 is an abundant number, since it is smaller than the sum of its proper divisors (37230875136).

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

11568420864 is a wasteful number, since it uses less digits than its factorization.

11568420864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 11568420864 in words is "eleven billion, five hundred sixty-eight million, four hundred twenty thousand, eight hundred sixty-four".