90999999999909 has 576 divisors, whose sum is σ = 192164815445760. Its totient is φ = 42032390400000.

The previous prime is 90999999999901. The next prime is 90999999999913.

90999999999909 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 90999999999909 - 2³ = 90999999999901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90999999999901) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 9190985859 + ... + 9190995759.

It is an arithmetic number, because the mean of its divisors is an integer number (333619471260).

Almost surely, 2^{90999999999909} is an apocalyptic number.

90999999999909 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

90999999999909 is an abundant number, since it is smaller than the sum of its proper divisors (101164815445851).

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

90999999999909 is a wasteful number, since it uses less digits than its factorization.

90999999999909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10099 (or 10073 counting only the distinct ones).

The product of its (nonzero) digits is 282429536481, while the sum is 108.

It can be divided in two parts, 90 and 999999999909, that added together give a palindrome (999999999999).

The spelling of 90999999999909 in words is "ninety trillion, nine hundred ninety-nine billion, nine hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred nine".