10589800744320 has 512 divisors, whose sum is σ = 39144781992960. Its totient is φ = 2385137664000.

The previous prime is 10589800744301. The next prime is 10589800744403. The reversal of 10589800744320 is 2344700898501.

It is a happy number.

It is a super-2 number, since 2×10589800744320² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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, 286401354 + ... + 286438326.

It is an arithmetic number, because the mean of its divisors is an integer number (76454652330).

Almost surely, 2^{10589800744320} is an apocalyptic number.

10589800744320 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 10589800744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19572390996480).

10589800744320 is an abundant number, since it is smaller than the sum of its proper divisors (28554981248640).

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

10589800744320 is a wasteful number, since it uses less digits than its factorization.

10589800744320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37314 (or 37302 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 10589800744320 in words is "ten trillion, five hundred eighty-nine billion, eight hundred million, seven hundred forty-four thousand, three hundred twenty".