90090090099936 has 144 divisors (see below), whose sum is σ = 256732810981920. Its totient is φ = 29966853350400.

The previous prime is 90090090099853. The next prime is 90090090099941. The reversal of 90090090099936 is 63999009009009.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1158184501 + ... + 1158262283.

It is an arithmetic number, because the mean of its divisors is an integer number (1782866742930).

Almost surely, 2^{90090090099936} is an apocalyptic number.

90090090099936 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90090090099936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128366405490960).

90090090099936 is an abundant number, since it is smaller than the sum of its proper divisors (166642720881984).

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

90090090099936 is a wasteful number, since it uses less digits than its factorization.

90090090099936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86209 (or 86198 counting only the distinct ones).

The product of its (nonzero) digits is 9565938, while the sum is 63.

The spelling of 90090090099936 in words is "ninety trillion, ninety billion, ninety million, ninety-nine thousand, nine hundred thirty-six".