11857652664 has 128 divisors (see below), whose sum is σ = 34904217600. Its totient is φ = 3309442560.

The previous prime is 11857652659. The next prime is 11857652671. The reversal of 11857652664 is 46625675811.

It is a happy number.

11857652664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1640322 + ... + 1647534.

It is an arithmetic number, because the mean of its divisors is an integer number (272689200).

Almost surely, 2^11857652664 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 11857652664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17452108800).

11857652664 is an abundant number, since it is smaller than the sum of its proper divisors (23046564936).

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

11857652664 is a wasteful number, since it uses less digits than its factorization.

11857652664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7725 (or 7721 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 51.

The spelling of 11857652664 in words is "eleven billion, eight hundred fifty-seven million, six hundred fifty-two thousand, six hundred sixty-four".