90844399800 has 960 divisors, whose sum is σ = 414182419200. Its totient is φ = 17878579200.

The previous prime is 90844399771. The next prime is 90844399801. The reversal of 90844399800 is 899344809.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90844399801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 23698684 + ... + 23702516.

It is an arithmetic number, because the mean of its divisors is an integer number (431440020).

Almost surely, 2^90844399800 is an apocalyptic number.

90844399800 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 90844399800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207091209600).

90844399800 is an abundant number, since it is smaller than the sum of its proper divisors (323338019400).

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

90844399800 is a wasteful number, since it uses less digits than its factorization.

90844399800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3898 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 90844399800 in words is "ninety billion, eight hundred forty-four million, three hundred ninety-nine thousand, eight hundred".