5782140000 has 720 divisors, whose sum is σ = 25360407072. Its totient is φ = 1216512000.

The previous prime is 5782139959. The next prime is 5782140019. The reversal of 5782140000 is 412875.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 16379824 + ... + 16380176.

Almost surely, 2^5782140000 is an apocalyptic number.

5782140000 is a gapful number since it is divisible by the number (50) 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 5782140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12680203536).

5782140000 is an abundant number, since it is smaller than the sum of its proper divisors (19578267072).

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

5782140000 is a wasteful number, since it uses less digits than its factorization.

5782140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5782140000 is about 76040.3840074470. The cubic root of 5782140000 is about 1794.8556821508.

Adding to 5782140000 its reverse (412875), we get a palindrome (5782552875).

The spelling of 5782140000 in words is "five billion, seven hundred eighty-two million, one hundred forty thousand".