11617901568 has 396 divisors, whose sum is σ = 42046444440. Its totient is φ = 3062513664.

The previous prime is 11617901567. The next prime is 11617901569. The reversal of 11617901568 is 86510971611.

11617901568 is a `hidden beast` number, since 1 + 16 + 1 + 79 + 0 + 1 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (11617901567) and next prime (11617901569).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11617901567) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5869603 + ... + 5871581.

It is an arithmetic number, because the mean of its divisors is an integer number (106177890).

Almost surely, 2^11617901568 is an apocalyptic number.

11617901568 is a gapful number since it is divisible by the number (18) 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 11617901568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21023222220).

11617901568 is an abundant number, since it is smaller than the sum of its proper divisors (30428542872).

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

11617901568 is a wasteful number, since it uses less digits than its factorization.

11617901568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 11617901568 in words is "eleven billion, six hundred seventeen million, nine hundred one thousand, five hundred sixty-eight".