5105769984 has 320 divisors, whose sum is σ = 18188121600. Its totient is φ = 1381515264.

The previous prime is 5105769979. The next prime is 5105769989. The reversal of 5105769984 is 4899675015.

It is an interprime number because it is at equal distance from previous prime (5105769979) and next prime (5105769989).

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 5105769984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105769989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1837204 + ... + 1839980.

It is an arithmetic number, because the mean of its divisors is an integer number (56837880).

Almost surely, 2^5105769984 is an apocalyptic number.

5105769984 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 5105769984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9094060800).

5105769984 is an abundant number, since it is smaller than the sum of its proper divisors (13082351616).

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

5105769984 is a wasteful number, since it uses less digits than its factorization.

5105769984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The square root of 5105769984 is about 71454.6708340330. The cubic root of 5105769984 is about 1721.9495183637.

The spelling of 5105769984 in words is "five billion, one hundred five million, seven hundred sixty-nine thousand, nine hundred eighty-four".