5782081536 has 624 divisors, whose sum is σ = 21962364480. Its totient is φ = 1486356480.

The previous prime is 5782081499. The next prime is 5782081549. The reversal of 5782081536 is 6351802875.

5782081536 is a `hidden beast` number, since 578 + 20 + 8 + 1 + 53 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5782081491 and 5782081500.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59609040 + ... + 59609136.

Almost surely, 2^5782081536 is an apocalyptic number.

5782081536 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 5782081536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10981182240).

5782081536 is an abundant number, since it is smaller than the sum of its proper divisors (16180282944).

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

5782081536 is a wasteful number, since it uses less digits than its factorization.

5782081536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 5782081536 is about 76039.9995791689. Note that the first 3 decimals coincide. The cubic root of 5782081536 is about 1794.8496327876.

The spelling of 5782081536 in words is "five billion, seven hundred eighty-two million, eighty-one thousand, five hundred thirty-six".