10289560205890 has 48 divisors (see below), whose sum is σ = 22679030678400. Its totient is φ = 3342172936032.

The previous prime is 10289560205843. The next prime is 10289560205893. The reversal of 10289560205890 is 9850206598201.

10289560205890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10289560205893) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552598650 + ... + 552617269.

It is an arithmetic number, because the mean of its divisors is an integer number (472479805800).

Almost surely, 2^{10289560205890} is an apocalyptic number.

10289560205890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10289560205890 is an abundant number, since it is smaller than the sum of its proper divisors (12389470472510).

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

10289560205890 is a wasteful number, since it uses less digits than its factorization.

10289560205890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105215959 (or 1105215952 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 55.

The spelling of 10289560205890 in words is "ten trillion, two hundred eighty-nine billion, five hundred sixty million, two hundred five thousand, eight hundred ninety".