11995788000 has 576 divisors, whose sum is σ = 47755588608. Its totient is φ = 2619724800.

The previous prime is 11995787989. The next prime is 11995788017. The reversal of 11995788000 is 88759911.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 13523557 + ... + 13524443.

It is an arithmetic number, because the mean of its divisors is an integer number (82909008).

Almost surely, 2^11995788000 is an apocalyptic number.

11995788000 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 11995788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23877794304).

11995788000 is an abundant number, since it is smaller than the sum of its proper divisors (35759800608).

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

11995788000 is a wasteful number, since it uses less digits than its factorization.

11995788000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 48.

The spelling of 11995788000 in words is "eleven billion, nine hundred ninety-five million, seven hundred eighty-eight thousand".