11782645856 has 48 divisors (see below), whose sum is σ = 23861764080. Its totient is φ = 5723020800.

The previous prime is 11782645843. The next prime is 11782645859. The reversal of 11782645856 is 65854628711.

It is a junction number, because it is equal to n+sod(n) for n = 11782645798 and 11782645807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11782645859) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 772706 + ... + 787806.

It is an arithmetic number, because the mean of its divisors is an integer number (497120085).

Almost surely, 2^11782645856 is an apocalyptic number.

11782645856 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 11782645856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11930882040).

11782645856 is an abundant number, since it is smaller than the sum of its proper divisors (12079118224).

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

11782645856 is a wasteful number, since it uses less digits than its factorization.

11782645856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15807 (or 15799 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 53.

The spelling of 11782645856 in words is "eleven billion, seven hundred eighty-two million, six hundred forty-five thousand, eight hundred fifty-six".