11511304656 has 120 divisors (see below), whose sum is σ = 31785257280. Its totient is φ = 3589042176.

The previous prime is 11511304633. The next prime is 11511304667. The reversal of 11511304656 is 65640311511.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2314140 + ... + 2319108.

It is an arithmetic number, because the mean of its divisors is an integer number (264877144).

Almost surely, 2^11511304656 is an apocalyptic number.

11511304656 is a gapful number since it is divisible by the number (16) 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 11511304656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15892628640).

11511304656 is an abundant number, since it is smaller than the sum of its proper divisors (20273952624).

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

11511304656 is a wasteful number, since it uses less digits than its factorization.

11511304656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5181 (or 5158 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 11511304656 in words is "eleven billion, five hundred eleven million, three hundred four thousand, six hundred fifty-six".