10289023503360 has 704 divisors, whose sum is σ = 38439004876800. Its totient is φ = 2300497625088.

The previous prime is 10289023503299. The next prime is 10289023503391. The reversal of 10289023503360 is 6330532098201.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 925849164 + ... + 925860276.

It is an arithmetic number, because the mean of its divisors is an integer number (54600859200).

Almost surely, 2^{10289023503360} is an apocalyptic number.

10289023503360 is a gapful number since it is divisible by the number (10) 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 10289023503360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19219502438400).

10289023503360 is an abundant number, since it is smaller than the sum of its proper divisors (28149981373440).

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

10289023503360 is a wasteful number, since it uses less digits than its factorization.

10289023503360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11336 (or 11318 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 10289023503360 in words is "ten trillion, two hundred eighty-nine billion, twenty-three million, five hundred three thousand, three hundred sixty".