9090119480960 has 128 divisors (see below), whose sum is σ = 25304100105600. Its totient is φ = 3057808306176.

The previous prime is 9090119480941. The next prime is 9090119480989. The reversal of 9090119480960 is 690849110909.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 9090119480896 and 9090119480905.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18904490 + ... + 19379369.

It is an arithmetic number, because the mean of its divisors is an integer number (197688282075).

Almost surely, 2^{9090119480960} is an apocalyptic number.

It is an amenable number.

9090119480960 is an abundant number, since it is smaller than the sum of its proper divisors (16213980624640).

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

9090119480960 is a wasteful number, since it uses less digits than its factorization.

9090119480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38283938 (or 38283926 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 56.

The spelling of 9090119480960 in words is "nine trillion, ninety billion, one hundred nineteen million, four hundred eighty thousand, nine hundred sixty".