11600993664 has 640 divisors, whose sum is σ = 40494595680. Its totient is φ = 3264675840.

The previous prime is 11600993641. The next prime is 11600993687. The reversal of 11600993664 is 46639900611.

11600993664 is a `hidden beast` number, since 1 + 1 + 600 + 9 + 9 + 36 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11600993641) and next prime (11600993687).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 139770967 + ... + 139771049.

Almost surely, 2^11600993664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11600993664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20247297840).

11600993664 is an abundant number, since it is smaller than the sum of its proper divisors (28893602016).

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

11600993664 is a wasteful number, since it uses less digits than its factorization.

11600993664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 11600993664 in words is "eleven billion, six hundred million, nine hundred ninety-three thousand, six hundred sixty-four".