5105537645824 has 288 divisors, whose sum is σ = 13473529445376. Its totient is φ = 1869335592960.

The previous prime is 5105537645809. The next prime is 5105537645827. The reversal of 5105537645824 is 4285467355015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105537645827) 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 31 ways as a sum of consecutive naturals, for example, 228864879 + ... + 228887185.

It is an arithmetic number, because the mean of its divisors is an integer number (46783088352).

Almost surely, 2^{5105537645824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5105537645824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736764722688).

5105537645824 is an abundant number, since it is smaller than the sum of its proper divisors (8367991799552).

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

5105537645824 is a wasteful number, since it uses less digits than its factorization.

5105537645824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23041 (or 23027 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 55.

The spelling of 5105537645824 in words is "five trillion, one hundred five billion, five hundred thirty-seven million, six hundred forty-five thousand, eight hundred twenty-four".