5600915622600 has 384 divisors, whose sum is σ = 17651138112000. Its totient is φ = 1469056942080.

The previous prime is 5600915622527. The next prime is 5600915622607. The reversal of 5600915622600 is 62265190065.

It is a super-3 number, since 3×5600915622600³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (5600915622607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4345162756 + ... + 4345164044.

It is an arithmetic number, because the mean of its divisors is an integer number (45966505500).

Almost surely, 2^{5600915622600} is an apocalyptic number.

5600915622600 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 5600915622600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8825569056000).

5600915622600 is an abundant number, since it is smaller than the sum of its proper divisors (12050222489400).

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

5600915622600 is a wasteful number, since it uses less digits than its factorization.

5600915622600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 5600915622600 in words is "five trillion, six hundred billion, nine hundred fifteen million, six hundred twenty-two thousand, six hundred".