5821966000 has 80 divisors (see below), whose sum is σ = 14119765920. Its totient is φ = 2321798400.

The previous prime is 5821965983. The next prime is 5821966063. The reversal of 5821966000 is 6691285.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 689806 + ... + 698194.

It is an arithmetic number, because the mean of its divisors is an integer number (176497074).

Almost surely, 2^5821966000 is an apocalyptic number.

5821966000 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 5821966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7059882960).

5821966000 is an abundant number, since it is smaller than the sum of its proper divisors (8297799920).

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

5821966000 is a wasteful number, since it uses less digits than its factorization.

5821966000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8759 (or 8743 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 5821966000 is about 76301.8086286295. The cubic root of 5821966000 is about 1798.9671028775.

The spelling of 5821966000 in words is "five billion, eight hundred twenty-one million, nine hundred sixty-six thousand".