6598640112600 has 192 divisors, whose sum is σ = 21351322713600. Its totient is φ = 1682645944320.

The previous prime is 6598640112509. The next prime is 6598640112661. The reversal of 6598640112600 is 62110468956.

It is a super-2 number, since 2×6598640112600² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6598640112600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49047024 + ... + 49181376.

It is an arithmetic number, because the mean of its divisors is an integer number (111204805800).

Almost surely, 2^{6598640112600} is an apocalyptic number.

6598640112600 is a gapful number since it is divisible by the number (60) 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 6598640112600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10675661356800).

6598640112600 is an abundant number, since it is smaller than the sum of its proper divisors (14752682601000).

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

6598640112600 is a wasteful number, since it uses less digits than its factorization.

6598640112600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137954 (or 137945 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 6598640112600 in words is "six trillion, five hundred ninety-eight billion, six hundred forty million, one hundred twelve thousand, six hundred".