11857058304 has 320 divisors, whose sum is σ = 39844949760. Its totient is φ = 3049390080.

The previous prime is 11857058231. The next prime is 11857058309. The reversal of 11857058304 is 40385075811.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (11857058309) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5729782 + ... + 5731850.

It is an arithmetic number, because the mean of its divisors is an integer number (124515468).

Almost surely, 2^11857058304 is an apocalyptic number.

11857058304 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 11857058304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19922474880).

11857058304 is an abundant number, since it is smaller than the sum of its proper divisors (27987891456).

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

11857058304 is a wasteful number, since it uses less digits than its factorization.

11857058304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 11857058304 in words is "eleven billion, eight hundred fifty-seven million, fifty-eight thousand, three hundred four".