11890384000 has 128 divisors (see below), whose sum is σ = 32250441600. Its totient is φ = 4323712000.

The previous prime is 11890383961. The next prime is 11890384019. The reversal of 11890384000 is 48309811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142221 + ... + 209779.

It is an arithmetic number, because the mean of its divisors is an integer number (251956575).

Almost surely, 2^11890384000 is an apocalyptic number.

11890384000 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 11890384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16125220800).

11890384000 is an abundant number, since it is smaller than the sum of its proper divisors (20360057600).

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

11890384000 is an equidigital number, since it uses as much as digits as its factorization.

11890384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67599 (or 67577 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 11890384000 in words is "eleven billion, eight hundred ninety million, three hundred eighty-four thousand".