900082108800 has 2304 divisors, whose sum is σ = 4116966497280. Its totient is φ = 189510451200.

The previous prime is 900082108799. The next prime is 900082108801. The reversal of 900082108800 is 8801280009.

It is an interprime number because it is at equal distance from previous prime (900082108799) and next prime (900082108801).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900082108801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6569942332 + ... + 6569942468.

It is an arithmetic number, because the mean of its divisors is an integer number (1786877820).

Almost surely, 2^900082108800 is an apocalyptic number.

900082108800 is a gapful number since it is divisible by the number (90) 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 900082108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058483248640).

900082108800 is an abundant number, since it is smaller than the sum of its proper divisors (3216884388480).

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

900082108800 is a wasteful number, since it uses less digits than its factorization.

900082108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

Adding to 900082108800 its reverse (8801280009), we get a palindrome (908883388809).

The spelling of 900082108800 in words is "nine hundred billion, eighty-two million, one hundred eight thousand, eight hundred".