11638505088 has 480 divisors, whose sum is σ = 41646844800. Its totient is φ = 3213665280.

The previous prime is 11638505083. The next prime is 11638505089. The reversal of 11638505088 is 88050583611.

11638505088 is a `hidden beast` number, since 1 + 1 + 63 + 8 + 505 + 0 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (11638505083) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15748623 + ... + 15749361.

It is an arithmetic number, because the mean of its divisors is an integer number (86764260).

Almost surely, 2^11638505088 is an apocalyptic number.

11638505088 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 11638505088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20823422400).

11638505088 is an abundant number, since it is smaller than the sum of its proper divisors (30008339712).

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

11638505088 is an equidigital number, since it uses as much as digits as its factorization.

11638505088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 11638505088 in words is "eleven billion, six hundred thirty-eight million, five hundred five thousand, eighty-eight".