11115605088 has 288 divisors, whose sum is σ = 36796032000. Its totient is φ = 3117616128.

The previous prime is 11115604999. The next prime is 11115605089. The reversal of 11115605088 is 88050651111.

11115605088 is a `hidden beast` number, since 1 + 1 + 11 + 560 + 5 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11115605089) 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, 41321818 + ... + 41322086.

It is an arithmetic number, because the mean of its divisors is an integer number (127764000).

Almost surely, 2^11115605088 is an apocalyptic number.

11115605088 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 11115605088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18398016000).

11115605088 is an abundant number, since it is smaller than the sum of its proper divisors (25680426912).

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

11115605088 is a wasteful number, since it uses less digits than its factorization.

11115605088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 36.

The spelling of 11115605088 in words is "eleven billion, one hundred fifteen million, six hundred five thousand, eighty-eight".