10289604265959 has 32 divisors (see below), whose sum is σ = 14592466944000. Its totient is φ = 6431112050400.

The previous prime is 10289604265901. The next prime is 10289604265973. The reversal of 10289604265959 is 95956240698201.

It is not a de Polignac number, because 10289604265959 - 2³¹ = 10287456782311 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10289604265959.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10289604265999) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9159 + ... + 4536440.

It is an arithmetic number, because the mean of its divisors is an integer number (456014592000).

Almost surely, 2^{10289604265959} is an apocalyptic number.

10289604265959 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10289604265959 is a deficient number, since it is larger than the sum of its proper divisors (4302862678041).

10289604265959 is a wasteful number, since it uses less digits than its factorization.

10289604265959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546035.

The product of its (nonzero) digits is 83980800, while the sum is 66.

The spelling of 10289604265959 in words is "ten trillion, two hundred eighty-nine billion, six hundred four million, two hundred sixty-five thousand, nine hundred fifty-nine".