11921640192 has 648 divisors, whose sum is σ = 44529357600. Its totient is φ = 3000729600.

The previous prime is 11921640191. The next prime is 11921640299. The reversal of 11921640192 is 29104612911.

It is a happy number.

11921640192 is a `hidden beast` number, since 1 + 1 + 9 + 2 + 1 + 640 + 1 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11921640191) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80010934 + ... + 80011082.

Almost surely, 2^11921640192 is an apocalyptic number.

11921640192 is a gapful number since it is divisible by the number (12) 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 11921640192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22264678800).

11921640192 is an abundant number, since it is smaller than the sum of its proper divisors (32607717408).

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

11921640192 is a wasteful number, since it uses less digits than its factorization.

11921640192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 11921640192 in words is "eleven billion, nine hundred twenty-one million, six hundred forty thousand, one hundred ninety-two".