11260505088 has 352 divisors, whose sum is σ = 38626398720. Its totient is φ = 3173990400.

The previous prime is 11260505063. The next prime is 11260505093. The reversal of 11260505088 is 88050506211.

11260505088 is a `hidden beast` number, since 1 + 12 + 60 + 505 + 0 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16063138 + ... + 16063838.

Almost surely, 2^11260505088 is an apocalyptic number.

11260505088 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 11260505088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19313199360).

11260505088 is an abundant number, since it is smaller than the sum of its proper divisors (27365893632).

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

11260505088 is an equidigital number, since it uses as much as digits as its factorization.

11260505088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 11260505088 in words is "eleven billion, two hundred sixty million, five hundred five thousand, eighty-eight".