10819289088 has 180 divisors, whose sum is σ = 31487776320. Its totient is φ = 3579641856.

The previous prime is 10819289069. The next prime is 10819289093. The reversal of 10819289088 is 88098291801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35241831 + ... + 35242137.

Almost surely, 2^10819289088 is an apocalyptic number.

10819289088 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 10819289088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15743888160).

10819289088 is an abundant number, since it is smaller than the sum of its proper divisors (20668487232).

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

10819289088 is an equidigital number, since it uses as much as digits as its factorization.

10819289088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 54.

The spelling of 10819289088 in words is "ten billion, eight hundred nineteen million, two hundred eighty-nine thousand, eighty-eight".