5105838026484 has 120 divisors (see below), whose sum is σ = 14380268886368. Its totient is φ = 1570387072320.

The previous prime is 5105838026381. The next prime is 5105838026489. The reversal of 5105838026484 is 4846208385015.

5105838026484 is a `hidden beast` number, since 5 + 1 + 0 + 5 + 83 + 80 + 2 + 6 + 484 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5105838026484.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105838026489) 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 39 ways as a sum of consecutive naturals, for example, 10145319 + ... + 10636689.

Almost surely, 2^{5105838026484} is an apocalyptic number.

5105838026484 is a gapful number since it is divisible by the number (54) 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 5105838026484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7190134443184).

5105838026484 is an abundant number, since it is smaller than the sum of its proper divisors (9274430859884).

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

5105838026484 is a wasteful number, since it uses less digits than its factorization.

5105838026484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493867 (or 493856 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 5105838026484 in words is "five trillion, one hundred five billion, eight hundred thirty-eight million, twenty-six thousand, four hundred eighty-four".