11539914000 has 320 divisors, whose sum is σ = 38239838208. Its totient is φ = 2993088000.

The previous prime is 11539913977. The next prime is 11539914037. The reversal of 11539914000 is 41993511.

11539914000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43877869 + ... + 43878131.

Almost surely, 2^11539914000 is an apocalyptic number.

11539914000 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 11539914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19119919104).

11539914000 is an abundant number, since it is smaller than the sum of its proper divisors (26699924208).

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

11539914000 is a wasteful number, since it uses less digits than its factorization.

11539914000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The spelling of 11539914000 in words is "eleven billion, five hundred thirty-nine million, nine hundred fourteen thousand".