5856364800 has 1080 divisors, whose sum is σ = 25761267840. Its totient is φ = 1293926400.

The previous prime is 5856364793. The next prime is 5856364817. The reversal of 5856364800 is 84636585.

5856364800 is a `hidden beast` number, since 5 + 8 + 5 + 636 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 74131161 + ... + 74131239.

Almost surely, 2^5856364800 is an apocalyptic number.

5856364800 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 5856364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12880633920).

5856364800 is an abundant number, since it is smaller than the sum of its proper divisors (19904903040).

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

5856364800 is a wasteful number, since it uses less digits than its factorization.

5856364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 5856364800 is about 76526.8893918994. The cubic root of 5856364800 is about 1802.5031839808.

The spelling of 5856364800 in words is "five billion, eight hundred fifty-six million, three hundred sixty-four thousand, eight hundred".