5866945920 has 768 divisors, whose sum is σ = 23829811200. Its totient is φ = 1316044800.

The previous prime is 5866945907. The next prime is 5866945967. The reversal of 5866945920 is 295496685.

It is a happy number.

5866945920 is a `hidden beast` number, since 586 + 6 + 9 + 4 + 59 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 56960589 + ... + 56960691.

It is an arithmetic number, because the mean of its divisors is an integer number (31028400).

Almost surely, 2^5866945920 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 5866945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11914905600).

5866945920 is an abundant number, since it is smaller than the sum of its proper divisors (17962865280).

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

5866945920 is a wasteful number, since it uses less digits than its factorization.

5866945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 5866945920 is about 76595.9915400277. The cubic root of 5866945920 is about 1803.5881020200.

The spelling of 5866945920 in words is "five billion, eight hundred sixty-six million, nine hundred forty-five thousand, nine hundred twenty".