11992132176640 has 720 divisors, whose sum is σ = 37739342785536. Its totient is φ = 3616916889600.

The previous prime is 11992132176637. The next prime is 11992132176691. The reversal of 11992132176640 is 4667123129911.

It is a happy number.

It is a super-2 number, since 2×11992132176640² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1047982759 + ... + 1047994201.

Almost surely, 2^{11992132176640} is an apocalyptic number.

11992132176640 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 11992132176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869671392768).

11992132176640 is an abundant number, since it is smaller than the sum of its proper divisors (25747210608896).

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

11992132176640 is an equidigital number, since it uses as much as digits as its factorization.

11992132176640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11534 (or 11499 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 52.

The spelling of 11992132176640 in words is "eleven trillion, nine hundred ninety-two billion, one hundred thirty-two million, one hundred seventy-six thousand, six hundred forty".