11791008000 has 360 divisors, whose sum is σ = 43887643800. Its totient is φ = 3143577600.

The previous prime is 11791007959. The next prime is 11791008013. The reversal of 11791008000 is 80019711.

It can be written as a sum of positive squares in 4 ways, for example, as 95883264 + 11695124736 = 9792^2 + 108144^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 2589726 + ... + 2594274.

Almost surely, 2^11791008000 is an apocalyptic number.

11791008000 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 11791008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21943821900).

11791008000 is an abundant number, since it is smaller than the sum of its proper divisors (32096635800).

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

11791008000 is an frugal number, since it uses more digits than its factorization.

11791008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592 (or 4559 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The spelling of 11791008000 in words is "eleven billion, seven hundred ninety-one million, eight thousand".