5032782404160 has 448 divisors, whose sum is σ = 18471250636800. Its totient is φ = 1137231912960.

The previous prime is 5032782404129. The next prime is 5032782404161. The reversal of 5032782404160 is 614042872305.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5032782404161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209940975 + ... + 209964945.

Almost surely, 2^{5032782404160} 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 5032782404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9235625318400).

5032782404160 is an abundant number, since it is smaller than the sum of its proper divisors (13438468232640).

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

5032782404160 is a wasteful number, since it uses less digits than its factorization.

5032782404160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24354 (or 24344 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 5032782404160 in words is "five trillion, thirty-two billion, seven hundred eighty-two million, four hundred four thousand, one hundred sixty".