11892142485792 has 192 divisors, whose sum is σ = 34960470652800. Its totient is φ = 3932630507520.

The previous prime is 11892142485779. The next prime is 11892142485829. The reversal of 11892142485792 is 29758424129811.

11892142485792 is a `hidden beast` number, since 1 + 1 + 8 + 9 + 2 + 14 + 2 + 48 + 579 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440159068 + ... + 440186084.

It is an arithmetic number, because the mean of its divisors is an integer number (182085784650).

Almost surely, 2^{11892142485792} is an apocalyptic number.

11892142485792 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 11892142485792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17480235326400).

11892142485792 is an abundant number, since it is smaller than the sum of its proper divisors (23068328167008).

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

11892142485792 is a wasteful number, since it uses less digits than its factorization.

11892142485792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31056 (or 31042 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 63.

The spelling of 11892142485792 in words is "eleven trillion, eight hundred ninety-two billion, one hundred forty-two million, four hundred eighty-five thousand, seven hundred ninety-two".