11606623056 has 320 divisors, whose sum is σ = 38937507840. Its totient is φ = 3242004480.

The previous prime is 11606623037. The next prime is 11606623087. The reversal of 11606623056 is 65032660611.

11606623056 is a `hidden beast` number, since 11 + 606 + 6 + 2 + 30 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11606623056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32879776 + ... + 32880128.

It is an arithmetic number, because the mean of its divisors is an integer number (121679712).

Almost surely, 2^11606623056 is an apocalyptic number.

11606623056 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 11606623056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19468753920).

11606623056 is an abundant number, since it is smaller than the sum of its proper divisors (27330884784).

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

11606623056 is a wasteful number, since it uses less digits than its factorization.

11606623056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 11606623056 in words is "eleven billion, six hundred six million, six hundred twenty-three thousand, fifty-six".