10589839949920 has 384 divisors, whose sum is σ = 34092108029952. Its totient is φ = 3006355046400.

The previous prime is 10589839949839. The next prime is 10589839949959. The reversal of 10589839949920 is 2994993898501.

It is a super-2 number, since 2×10589839949920² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5677114 + ... + 7308166.

It is an arithmetic number, because the mean of its divisors is an integer number (88781531328).

Almost surely, 2^{10589839949920} is an apocalyptic number.

10589839949920 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 10589839949920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17046054014976).

10589839949920 is an abundant number, since it is smaller than the sum of its proper divisors (23502268080032).

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

10589839949920 is a wasteful number, since it uses less digits than its factorization.

10589839949920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631134 (or 1631126 counting only the distinct ones).

The product of its (nonzero) digits is 453496320, while the sum is 76.

The spelling of 10589839949920 in words is "ten trillion, five hundred eighty-nine billion, eight hundred thirty-nine million, nine hundred forty-nine thousand, nine hundred twenty".