10598849587200 has 1728 divisors, whose sum is σ = 43297100683200. Its totient is φ = 2274125414400.

The previous prime is 10598849587171. The next prime is 10598849587223. The reversal of 10598849587200 is 278594889501.

It is a super-2 number, since 2×10598849587200² (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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19591218930 + ... + 19591219470.

It is an arithmetic number, because the mean of its divisors is an integer number (25056192525).

Almost surely, 2^{10598849587200} is an apocalyptic number.

10598849587200 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 10598849587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21648550341600).

10598849587200 is an abundant number, since it is smaller than the sum of its proper divisors (32698251096000).

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

10598849587200 is a wasteful number, since it uses less digits than its factorization.

10598849587200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 66.

The spelling of 10598849587200 in words is "ten trillion, five hundred ninety-eight billion, eight hundred forty-nine million, five hundred eighty-seven thousand, two hundred".