11563140864 has 288 divisors, whose sum is σ = 35226132480. Its totient is φ = 3335270400.

The previous prime is 11563140839. The next prime is 11563140893. The reversal of 11563140864 is 46804136511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17546167 + ... + 17546825.

It is an arithmetic number, because the mean of its divisors is an integer number (122312960).

Almost surely, 2^11563140864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11563140864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17613066240).

11563140864 is an abundant number, since it is smaller than the sum of its proper divisors (23662991616).

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

11563140864 is a wasteful number, since it uses less digits than its factorization.

11563140864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 11563140864 in words is "eleven billion, five hundred sixty-three million, one hundred forty thousand, eight hundred sixty-four".