10904288688 has 280 divisors, whose sum is σ = 33373399680. Its totient is φ = 3445079040.

The previous prime is 10904288669. The next prime is 10904288711. The reversal of 10904288688 is 88688240901.

10904288688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10904288688² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 19163668 + ... + 19164236.

Almost surely, 2^10904288688 is an apocalyptic number.

10904288688 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 10904288688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16686699840).

10904288688 is an abundant number, since it is smaller than the sum of its proper divisors (22469110992).

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

10904288688 is an equidigital number, since it uses as much as digits as its factorization.

10904288688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 10904288688 in words is "ten billion, nine hundred four million, two hundred eighty-eight thousand, six hundred eighty-eight".