11288885760 has 560 divisors, whose sum is σ = 42507172224. Its totient is φ = 2868535296.

The previous prime is 11288885723. The next prime is 11288885771. The reversal of 11288885760 is 6758888211.

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

It is a junction number, because it is equal to n+sod(n) for n = 11288885697 and 11288885706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 42923389 + ... + 42923651.

Almost surely, 2^11288885760 is an apocalyptic number.

11288885760 is a gapful number since it is divisible by the number (10) 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 11288885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21253586112).

11288885760 is an abundant number, since it is smaller than the sum of its proper divisors (31218286464).

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

11288885760 is an frugal number, since it uses more digits than its factorization.

11288885760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 54.

It can be divided in two parts, 1128 and 8885760, that added together give a palindrome (8886888).

The spelling of 11288885760 in words is "eleven billion, two hundred eighty-eight million, eight hundred eighty-five thousand, seven hundred sixty".