90283849920 has 1008 divisors, whose sum is σ = 358570255680. Its totient is φ = 20815872000.

The previous prime is 90283849913. The next prime is 90283849937. The reversal of 90283849920 is 2994838209.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1014425236 + ... + 1014425324.

It is an arithmetic number, because the mean of its divisors is an integer number (355724460).

Almost surely, 2^90283849920 is an apocalyptic number.

90283849920 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 90283849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179285127840).

90283849920 is an abundant number, since it is smaller than the sum of its proper divisors (268286405760).

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

90283849920 is a wasteful number, since it uses less digits than its factorization.

90283849920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 222 counting only the distinct ones).

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

The spelling of 90283849920 in words is "ninety billion, two hundred eighty-three million, eight hundred forty-nine thousand, nine hundred twenty".