11539874304 has 400 divisors, whose sum is σ = 39800690688. Its totient is φ = 3260694528.

The previous prime is 11539874293. The next prime is 11539874323. The reversal of 11539874304 is 40347893511.

11539874304 is a `hidden beast` number, since 1 + 1 + 539 + 87 + 4 + 30 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11539874304.

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 39 ways as a sum of consecutive naturals, for example, 36868452 + ... + 36868764.

Almost surely, 2^11539874304 is an apocalyptic number.

11539874304 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 11539874304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19900345344).

11539874304 is an abundant number, since it is smaller than the sum of its proper divisors (28260816384).

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

11539874304 is an equidigital number, since it uses as much as digits as its factorization.

11539874304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 11539874304 in words is "eleven billion, five hundred thirty-nine million, eight hundred seventy-four thousand, three hundred four".