11896992000 has 432 divisors, whose sum is σ = 43338400560. Its totient is φ = 3133440000.

The previous prime is 11896991971. The next prime is 11896992001. The reversal of 11896992000 is 29969811.

It can be written as a sum of positive squares in 8 ways, for example, as 56070144 + 11840921856 = 7488^2 + 108816^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11896992001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 29087796 + ... + 29088204.

Almost surely, 2^11896992000 is an apocalyptic number.

11896992000 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 11896992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21669200280).

11896992000 is an abundant number, since it is smaller than the sum of its proper divisors (31441408560).

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

11896992000 is a wasteful number, since it uses less digits than its factorization.

11896992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 11896992000 in words is "eleven billion, eight hundred ninety-six million, nine hundred ninety-two thousand".