90099099099009 has 384 divisors, whose sum is σ = 180209018336256. Its totient is φ = 41878425600000.

The previous prime is 90099099098971. The next prime is 90099099099013.

90099099099009 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 90099099099009 - 2¹¹ = 90099099096961 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (90099099099409) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9099994959 + ... + 9100004859.

It is an arithmetic number, because the mean of its divisors is an integer number (469294318584).

Almost surely, 2^{90099099099009} is an apocalyptic number.

90099099099009 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

90099099099009 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

90099099099009 is a wasteful number, since it uses less digits than its factorization.

90099099099009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10249 (or 10246 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, 900990 and 99099009, that added together give a palindrome (99999999).

The spelling of 90099099099009 in words is "ninety trillion, ninety-nine billion, ninety-nine million, ninety-nine thousand, nine".