11893008000 has 128 divisors (see below), whose sum is σ = 39425480640. Its totient is φ = 3171456000.

The previous prime is 11893007963. The next prime is 11893008059. The reversal of 11893008000 is 80039811.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 75886 + ... + 171885.

Almost surely, 2^11893008000 is an apocalyptic number.

11893008000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11893008000 is an abundant number, since it is smaller than the sum of its proper divisors (27532472640).

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

11893008000 is an equidigital number, since it uses as much as digits as its factorization.

11893008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247803 (or 247781 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 11893008000 in words is "eleven billion, eight hundred ninety-three million, eight thousand".