11676785856 has 112 divisors (see below), whose sum is σ = 31184697600. Its totient is φ = 3855926272.

The previous prime is 11676785821. The next prime is 11676785867. The reversal of 11676785856 is 65858767611.

It is a happy number.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11676785856.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13917085 + ... + 13917923.

It is an arithmetic number, because the mean of its divisors is an integer number (278434800).

Almost surely, 2^11676785856 is an apocalyptic number.

11676785856 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 11676785856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15592348800).

11676785856 is an abundant number, since it is smaller than the sum of its proper divisors (19507911744).

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

11676785856 is a wasteful number, since it uses less digits than its factorization.

11676785856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1436 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 60.

The spelling of 11676785856 in words is "eleven billion, six hundred seventy-six million, seven hundred eighty-five thousand, eight hundred fifty-six".