11933872896 has 144 divisors (see below), whose sum is σ = 34716931200. Its totient is φ = 3609231360.

The previous prime is 11933872879. The next prime is 11933872901. The reversal of 11933872896 is 69827833911.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

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, 5684455 + ... + 5686553.

It is an arithmetic number, because the mean of its divisors is an integer number (241089800).

Almost surely, 2^11933872896 is an apocalyptic number.

11933872896 is a gapful number since it is divisible by the number (16) 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 11933872896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17358465600).

11933872896 is an abundant number, since it is smaller than the sum of its proper divisors (22783058304).

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

11933872896 is a wasteful number, since it uses less digits than its factorization.

11933872896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802 (or 2788 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 57.

The spelling of 11933872896 in words is "eleven billion, nine hundred thirty-three million, eight hundred seventy-two thousand, eight hundred ninety-six".