5105584830528 has 560 divisors, whose sum is σ = 18639143255040. Its totient is φ = 1345660563456.

The previous prime is 5105584830523. The next prime is 5105584830553. The reversal of 5105584830528 is 8250384855015.

5105584830528 is a `hidden beast` number, since 5 + 1 + 0 + 5 + 5 + 84 + 8 + 30 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5105584830523) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1100576433 + ... + 1100581071.

It is an arithmetic number, because the mean of its divisors is an integer number (33284184384).

Almost surely, 2^{5105584830528} 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 5105584830528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9319571627520).

5105584830528 is an abundant number, since it is smaller than the sum of its proper divisors (13533558424512).

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

5105584830528 is a wasteful number, since it uses less digits than its factorization.

5105584830528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7016 (or 6997 counting only the distinct ones).

The product of its (nonzero) digits is 7680000, while the sum is 54.

The spelling of 5105584830528 in words is "five trillion, one hundred five billion, five hundred eighty-four million, eight hundred thirty thousand, five hundred twenty-eight".