11857560768 has 84 divisors (see below), whose sum is σ = 34023491008. Its totient is φ = 3948341760.

The previous prime is 11857560763. The next prime is 11857560797. The reversal of 11857560768 is 86706575811.

11857560768 is a `hidden beast` number, since 1 + 1 + 8 + 5 + 7 + 560 + 76 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (11857560763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 560430 + ... + 581202.

Almost surely, 2^11857560768 is an apocalyptic number.

11857560768 is a gapful number since it is divisible by the number (18) 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 11857560768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17011745504).

11857560768 is an abundant number, since it is smaller than the sum of its proper divisors (22165930240).

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

11857560768 is a wasteful number, since it uses less digits than its factorization.

11857560768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21782 (or 21769 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 11857560768 in words is "eleven billion, eight hundred fifty-seven million, five hundred sixty thousand, seven hundred sixty-eight".