90010000000 has 128 divisors (see below), whose sum is σ = 224170324560. Its totient is φ = 36000000000.

The previous prime is 90009999983. The next prime is 90010000013. The reversal of 90010000000 is 1009.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 88846917184 + 1163082816 = 298072^2 + 34104^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9995500 + ... + 10004500.

Almost surely, 2^90010000000 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 90010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112085162280).

90010000000 is an abundant number, since it is smaller than the sum of its proper divisors (134160324560).

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

90010000000 is an frugal number, since it uses more digits than its factorization.

90010000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9050 (or 9008 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 90010000000 its reverse (1009), we get a palindrome (90010001009).

The spelling of 90010000000 in words is "ninety billion, ten million", and thus it is an aban number and an uban number.