11639563056 has 320 divisors, whose sum is σ = 37991854080. Its totient is φ = 3408134400.

The previous prime is 11639563051. The next prime is 11639563109. The reversal of 11639563056 is 65036593611.

11639563056 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 9 + 5 + 630 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (11639563051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17824426 + ... + 17825078.

It is an arithmetic number, because the mean of its divisors is an integer number (118724544).

Almost surely, 2^11639563056 is an apocalyptic number.

11639563056 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 11639563056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18995927040).

11639563056 is an abundant number, since it is smaller than the sum of its proper divisors (26352291024).

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

11639563056 is a wasteful number, since it uses less digits than its factorization.

11639563056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 11639563056 in words is "eleven billion, six hundred thirty-nine million, five hundred sixty-three thousand, fifty-six".