90053002000 has 240 divisors, whose sum is σ = 237428120592. Its totient is φ = 33019084800.

The previous prime is 90053001989. The next prime is 90053002007. The reversal of 90053002000 is 20035009.

It can be written as a sum of positive squares in 24 ways, for example, as 90009600256 + 43401744 = 300016^2 + 6588^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90053002007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53065152 + ... + 53066848.

Almost surely, 2^90053002000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90053002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118714060296).

90053002000 is an abundant number, since it is smaller than the sum of its proper divisors (147375118592).

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

90053002000 is a wasteful number, since it uses less digits than its factorization.

90053002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

Adding to 90053002000 its reverse (20035009), we get a palindrome (90073037009).

The spelling of 90053002000 in words is "ninety billion, fifty-three million, two thousand".