90990900909909 has 192 divisors, whose sum is σ = 188697633965568. Its totient is φ = 40658817024000.

The previous prime is 90990900909829. The next prime is 90990900909929.

90990900909909 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 90990900909909 - 2⁷ = 90990900909781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90990900909929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12527277 + ... + 18409629.

It is an arithmetic number, because the mean of its divisors is an integer number (982800176904).

Almost surely, 2^{90990900909909} is an apocalyptic number.

90990900909909 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

90990900909909 is an abundant number, since it is smaller than the sum of its proper divisors (97706733055659).

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

90990900909909 is a wasteful number, since it uses less digits than its factorization.

90990900909909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882508 (or 5882505 counting only the distinct ones).

The product of its (nonzero) digits is 43046721, while the sum is 72.

It can be divided in two parts, 90990900 and 909909, that multiplied together give a square (82793438828100 = 9099090²).

The spelling of 90990900909909 in words is "ninety trillion, nine hundred ninety billion, nine hundred million, nine hundred nine thousand, nine hundred nine".