5082429784320 has 1440 divisors, whose sum is σ = 21285977653248. Its totient is φ = 1133969227776.

The previous prime is 5082429784279. The next prime is 5082429784331. The reversal of 5082429784320 is 234879242805.

5082429784320 is a `hidden beast` number, since 5 + 0 + 8 + 24 + 297 + 8 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6175491429 + ... + 6175492251.

Almost surely, 2^{5082429784320} 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 5082429784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10642988826624).

5082429784320 is an abundant number, since it is smaller than the sum of its proper divisors (16203547868928).

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

5082429784320 is a wasteful number, since it uses less digits than its factorization.

5082429784320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 5082429784320 in words is "five trillion, eighty-two billion, four hundred twenty-nine million, seven hundred eighty-four thousand, three hundred twenty".