11296276992 has 960 divisors, whose sum is σ = 45757071360. Its totient is φ = 2587852800.

The previous prime is 11296276987. The next prime is 11296277039. The reversal of 11296276992 is 29967269211.

11296276992 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 627 + 6 + 9 + 9 + 2 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142990809 + ... + 142990887.

It is an arithmetic number, because the mean of its divisors is an integer number (47663616).

Almost surely, 2^11296276992 is an apocalyptic number.

11296276992 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 11296276992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22878535680).

11296276992 is an abundant number, since it is smaller than the sum of its proper divisors (34460794368).

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

11296276992 is a wasteful number, since it uses less digits than its factorization.

11296276992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 146 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The spelling of 11296276992 in words is "eleven billion, two hundred ninety-six million, two hundred seventy-six thousand, nine hundred ninety-two".