5600101645000 has 160 divisors (see below), whose sum is σ = 13661439283800. Its totient is φ = 2149574400000.

The previous prime is 5600101644967. The next prime is 5600101645001. The reversal of 5600101645000 is 5461010065.

It can be written as a sum of positive squares in 20 ways, for example, as 5580943209604 + 19158435396 = 2362402^2 + 138414^2 .

It is a super-3 number, since 3×5600101645000³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 5600101645000.

It is not an unprimeable number, because it can be changed into a prime (5600101645001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 12281086 + ... + 12728914.

Almost surely, 2^{5600101645000} is an apocalyptic number.

5600101645000 is a gapful number since it is divisible by the number (50) 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 5600101645000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6830719641900).

5600101645000 is an abundant number, since it is smaller than the sum of its proper divisors (8061337638800).

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

5600101645000 is a wasteful number, since it uses less digits than its factorization.

5600101645000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447957 (or 447938 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 5600101645000 its reverse (5461010065), we get a palindrome (5605562655065).

The spelling of 5600101645000 in words is "five trillion, six hundred billion, one hundred one million, six hundred forty-five thousand".