11568635882496 has 1232 divisors, whose sum is σ = 45775536721920. Its totient is φ = 2827846287360.

The previous prime is 11568635882393. The next prime is 11568635882537. The reversal of 11568635882496 is 69428853686511.

11568635882496 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 8 + 6 + 3 + 58 + 82 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (1232).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 977157345 + ... + 977169183.

Almost surely, 2^{11568635882496} is an apocalyptic number.

11568635882496 is a gapful number since it is divisible by the number (16) 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 11568635882496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22887768360960).

11568635882496 is an abundant number, since it is smaller than the sum of its proper divisors (34206900839424).

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

11568635882496 is a wasteful number, since it uses less digits than its factorization.

11568635882496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11912 (or 11879 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 72.

The spelling of 11568635882496 in words is "eleven trillion, five hundred sixty-eight billion, six hundred thirty-five million, eight hundred eighty-two thousand, four hundred ninety-six".