9090209224800 has 1728 divisors, whose sum is σ = 37000578311424. Its totient is φ = 2080202342400.

The previous prime is 9090209224793. The next prime is 9090209224813. The reversal of 9090209224800 is 84229020909.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16618298127 + ... + 16618298673.

It is an arithmetic number, because the mean of its divisors is an integer number (21412371708).

Almost surely, 2^{9090209224800} is an apocalyptic number.

9090209224800 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 9090209224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18500289155712).

9090209224800 is an abundant number, since it is smaller than the sum of its proper divisors (27910369086624).

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

9090209224800 is a wasteful number, since it uses less digits than its factorization.

9090209224800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 9090209224800 in words is "nine trillion, ninety billion, two hundred nine million, two hundred twenty-four thousand, eight hundred".