10841088000 has 224 divisors, whose sum is σ = 36087161760. Its totient is φ = 2890137600.

The previous prime is 10841087989. The next prime is 10841088053. The reversal of 10841088000 is 88014801.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3070236 + ... + 3073764.

Almost surely, 2^10841088000 is an apocalyptic number.

10841088000 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 10841088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18043580880).

10841088000 is an abundant number, since it is smaller than the sum of its proper divisors (25246073760).

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

10841088000 is an frugal number, since it uses more digits than its factorization.

10841088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3573 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The spelling of 10841088000 in words is "ten billion, eight hundred forty-one million, eighty-eight thousand".