5600511051100 has 432 divisors, whose sum is σ = 14493402862848. Its totient is φ = 1872633047040.

The previous prime is 5600511051073. The next prime is 5600511051101. The reversal of 5600511051100 is 11501150065.

It is a super-2 number, since 2×5600511051100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5600511051101) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 16139801127 + ... + 16139801473.

It is an arithmetic number, because the mean of its divisors is an integer number (33549543664).

Almost surely, 2^{5600511051100} is an apocalyptic number.

5600511051100 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 5600511051100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7246701431424).

5600511051100 is an abundant number, since it is smaller than the sum of its proper divisors (8892891811748).

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

5600511051100 is a wasteful number, since it uses less digits than its factorization.

5600511051100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 25.

The spelling of 5600511051100 in words is "five trillion, six hundred billion, five hundred eleven million, fifty-one thousand, one hundred".