909090910000 has 400 divisors, whose sum is σ = 2851552211200. Its totient is φ = 272564352000.

The previous prime is 909090909983. The next prime is 909090910009. The reversal of 909090910000 is 19090909.

It is a tau number, because it is divible by the number of its divisors (400).

It is not an unprimeable number, because it can be changed into a prime (909090910009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17263711 + ... + 17316289.

It is an arithmetic number, because the mean of its divisors is an integer number (7128880528).

Almost surely, 2^909090910000 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 909090910000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425776105600).

909090910000 is an abundant number, since it is smaller than the sum of its proper divisors (1942461301200).

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

909090910000 is a wasteful number, since it uses less digits than its factorization.

909090910000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52646 (or 52625 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 37.

The spelling of 909090910000 in words is "nine hundred nine billion, ninety million, nine hundred ten thousand".