5856656400 has 1200 divisors, whose sum is σ = 26791142400. Its totient is φ = 1219276800.

The previous prime is 5856656381. The next prime is 5856656411. The reversal of 5856656400 is 46566585.

It is a happy number.

5856656400 is a `hidden beast` number, since 5 + 85 + 6 + 6 + 564 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 188924385 + ... + 188924415.

It is an arithmetic number, because the mean of its divisors is an integer number (22325952).

Almost surely, 2^5856656400 is an apocalyptic number.

5856656400 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 5856656400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13395571200).

5856656400 is an abundant number, since it is smaller than the sum of its proper divisors (20934486000).

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

5856656400 is a wasteful number, since it uses less digits than its factorization.

5856656400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 5856656400 is about 76528.7945808635. The cubic root of 5856656400 is about 1802.5331002185.

The spelling of 5856656400 in words is "five billion, eight hundred fifty-six million, six hundred fifty-six thousand, four hundred".