11682800256 has 64 divisors (see below), whose sum is σ = 32665744800. Its totient is φ = 3689303040.

The previous prime is 11682800203. The next prime is 11682800257. The reversal of 11682800256 is 65200828611.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (11682800257) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 793335 + ... + 807926.

Almost surely, 2^11682800256 is an apocalyptic number.

11682800256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11682800256 is an abundant number, since it is smaller than the sum of its proper divisors (20982944544).

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

11682800256 is a wasteful number, since it uses less digits than its factorization.

11682800256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601297 (or 1601285 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 11682800256 in words is "eleven billion, six hundred eighty-two million, eight hundred thousand, two hundred fifty-six".