10599641584320 has 448 divisors, whose sum is σ = 35165600910720. Its totient is φ = 2702485094400.

The previous prime is 10599641584319. The next prime is 10599641584331. The reversal of 10599641584320 is 2348514699501.

It is a super-2 number, since 2×10599641584320² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2213328486 + ... + 2213333274.

It is an arithmetic number, because the mean of its divisors is an integer number (78494644890).

Almost surely, 2^{10599641584320} is an apocalyptic number.

10599641584320 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 10599641584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17582800455360).

10599641584320 is an abundant number, since it is smaller than the sum of its proper divisors (24565959326400).

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

10599641584320 is a wasteful number, since it uses less digits than its factorization.

10599641584320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5964 (or 5954 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 57.

The spelling of 10599641584320 in words is "ten trillion, five hundred ninety-nine billion, six hundred forty-one million, five hundred eighty-four thousand, three hundred twenty".