11289311488 has 216 divisors, whose sum is σ = 28537935552. Its totient is φ = 4417523712.

The previous prime is 11289311479. The next prime is 11289311497. The reversal of 11289311488 is 88411398211.

It is an interprime number because it is at equal distance from previous prime (11289311479) and next prime (11289311497).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17448381 + ... + 17449027.

It is an arithmetic number, because the mean of its divisors is an integer number (132120072).

Almost surely, 2^11289311488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11289311488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14268967776).

11289311488 is an abundant number, since it is smaller than the sum of its proper divisors (17248624064).

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

11289311488 is a wasteful number, since it uses less digits than its factorization.

11289311488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 776 counting only the distinct ones).

The product of its digits is 110592, while the sum is 46.

The spelling of 11289311488 in words is "eleven billion, two hundred eighty-nine million, three hundred eleven thousand, four hundred eighty-eight".