11857564764 has 144 divisors (see below), whose sum is σ = 32544046080. Its totient is φ = 3628229760.

The previous prime is 11857564757. The next prime is 11857564813. The reversal of 11857564764 is 46746575811.

11857564764 is a `hidden beast` number, since 1 + 1 + 8 + 5 + 7 + 564 + 76 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11857564764.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3309454 + ... + 3313034.

It is an arithmetic number, because the mean of its divisors is an integer number (226000320).

Almost surely, 2^11857564764 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 11857564764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16272023040).

11857564764 is an abundant number, since it is smaller than the sum of its proper divisors (20686481316).

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

11857564764 is a wasteful number, since it uses less digits than its factorization.

11857564764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760 (or 3755 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 11857564764 in words is "eleven billion, eight hundred fifty-seven million, five hundred sixty-four thousand, seven hundred sixty-four".