11296056312 has 128 divisors (see below), whose sum is σ = 32496710400. Its totient is φ = 3633227136.

The previous prime is 11296056287. The next prime is 11296056337. The reversal of 11296056312 is 21365069211.

11296056312 is a `hidden beast` number, since 1 + 1 + 2 + 96 + 0 + 563 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (11296056287) and next prime (11296056337).

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

It is a congruent number.

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, 763578 + ... + 778230.

It is an arithmetic number, because the mean of its divisors is an integer number (253880550).

Almost surely, 2^11296056312 is an apocalyptic number.

11296056312 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 11296056312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248355200).

11296056312 is an abundant number, since it is smaller than the sum of its proper divisors (21200654088).

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

11296056312 is a wasteful number, since it uses less digits than its factorization.

11296056312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14794 (or 14784 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 11296056312 in words is "eleven billion, two hundred ninety-six million, fifty-six thousand, three hundred twelve".