11786681088 has 432 divisors, whose sum is σ = 43681179360. Its totient is φ = 3107414016.

The previous prime is 11786681087. The next prime is 11786681119. The reversal of 11786681088 is 88018668711.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11786681083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4401606 + ... + 4404282.

Almost surely, 2^11786681088 is an apocalyptic number.

11786681088 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 11786681088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21840589680).

11786681088 is an abundant number, since it is smaller than the sum of its proper divisors (31894498272).

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

11786681088 is a wasteful number, since it uses less digits than its factorization.

11786681088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2729 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 54.

The spelling of 11786681088 in words is "eleven billion, seven hundred eighty-six million, six hundred eighty-one thousand, eighty-eight".