11857964580 has 288 divisors, whose sum is σ = 45032682240. Its totient is φ = 2453667840.

The previous prime is 11857964561. The next prime is 11857964603. The reversal of 11857964580 is 8546975811.

It is a happy number.

11857964580 is a `hidden beast` number, since 1 + 1 + 8 + 57 + 9 + 6 + 4 + 580 = 666.

It is a super-2 number, since 2×11857964580² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3560356 + ... + 3563684.

It is an arithmetic number, because the mean of its divisors is an integer number (156363480).

Almost surely, 2^11857964580 is an apocalyptic number.

11857964580 is a gapful number since it is divisible by the number (10) 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 11857964580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22516341120).

11857964580 is an abundant number, since it is smaller than the sum of its proper divisors (33174717660).

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

11857964580 is a wasteful number, since it uses less digits than its factorization.

11857964580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3619 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 11857964580 in words is "eleven billion, eight hundred fifty-seven million, nine hundred sixty-four thousand, five hundred eighty".