11591141688 has 256 divisors, whose sum is σ = 39761280000. Its totient is φ = 3116606976.

The previous prime is 11591141677. The next prime is 11591141701. The reversal of 11591141688 is 88614119511.

It is a happy number.

11591141688 is a `hidden beast` number, since 1 + 159 + 1 + 1 + 416 + 88 = 666.

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, 1254895 + ... + 1264097.

It is an arithmetic number, because the mean of its divisors is an integer number (155317500).

Almost surely, 2^11591141688 is an apocalyptic number.

11591141688 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 11591141688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19880640000).

11591141688 is an abundant number, since it is smaller than the sum of its proper divisors (28170138312).

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

11591141688 is a wasteful number, since it uses less digits than its factorization.

11591141688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9256 (or 9232 counting only the distinct ones).

The product of its digits is 69120, while the sum is 45.

The spelling of 11591141688 in words is "eleven billion, five hundred ninety-one million, one hundred forty-one thousand, six hundred eighty-eight".