11415920136192 has 1040 divisors, whose sum is σ = 40640942643840. Its totient is φ = 3147359846400.

The previous prime is 11415920136191. The next prime is 11415920136209. The reversal of 11415920136192 is 29163102951411.

11415920136192 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 5 + 9 + 20 + 1 + 3 + 619 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11415920136191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3368520034 + ... + 3368523422.

Almost surely, 2^{11415920136192} is an apocalyptic number.

11415920136192 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 11415920136192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20320471321920).

11415920136192 is an abundant number, since it is smaller than the sum of its proper divisors (29225022507648).

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

11415920136192 is a wasteful number, since it uses less digits than its factorization.

11415920136192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520 (or 3489 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 11415920136192 in words is "eleven trillion, four hundred fifteen billion, nine hundred twenty million, one hundred thirty-six thousand, one hundred ninety-two".