519284482416 has 800 divisors, whose sum is σ = 1894208667648. Its totient is φ = 134072547840.

The previous prime is 519284482403. The next prime is 519284482433. The reversal of 519284482416 is 614284482915.

519284482416 is a `hidden beast` number, since 5 + 192 + 8 + 448 + 2 + 4 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 278137515 + ... + 278139381.

Almost surely, 2^519284482416 is an apocalyptic number.

519284482416 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 519284482416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947104333824).

519284482416 is an abundant number, since it is smaller than the sum of its proper divisors (1374924185232).

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

519284482416 is a wasteful number, since it uses less digits than its factorization.

519284482416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1976 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 519284482416 in words is "five hundred nineteen billion, two hundred eighty-four million, four hundred eighty-two thousand, four hundred sixteen".