5169378816 has 240 divisors, whose sum is σ = 17451692544. Its totient is φ = 1442230272.

The previous prime is 5169378803. The next prime is 5169378883. The reversal of 5169378816 is 6188739615.

5169378816 is a `hidden beast` number, since 516 + 9 + 37 + 88 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1385145 + ... + 1388871.

Almost surely, 2^5169378816 is an apocalyptic number.

5169378816 is a gapful number since it is divisible by the number (56) 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 5169378816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8725846272).

5169378816 is an abundant number, since it is smaller than the sum of its proper divisors (12282313728).

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

5169378816 is a wasteful number, since it uses less digits than its factorization.

5169378816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801 (or 3782 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 5169378816 is about 71898.3923046962. The cubic root of 5169378816 is about 1729.0708383241.

The spelling of 5169378816 in words is "five billion, one hundred sixty-nine million, three hundred seventy-eight thousand, eight hundred sixteen".