11857875724464 has 320 divisors, whose sum is σ = 39478091907072. Its totient is φ = 2976493132800.

The previous prime is 11857875724417. The next prime is 11857875724477. The reversal of 11857875724464 is 46442757875811.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83225574 + ... + 83367930.

Almost surely, 2^{11857875724464} is an apocalyptic number.

11857875724464 is a gapful number since it is divisible by the number (14) 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 11857875724464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19739045953536).

11857875724464 is an abundant number, since it is smaller than the sum of its proper divisors (27620216182608).

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

11857875724464 is a wasteful number, since it uses less digits than its factorization.

11857875724464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143144 (or 143138 counting only the distinct ones).

The product of its digits is 421478400, while the sum is 69.

The spelling of 11857875724464 in words is "eleven trillion, eight hundred fifty-seven billion, eight hundred seventy-five million, seven hundred twenty-four thousand, four hundred sixty-four".