5855846400 has 420 divisors, whose sum is σ = 21754232082. Its totient is φ = 1557135360.

The previous prime is 5855846387. The next prime is 5855846407. The reversal of 5855846400 is 46485585.

5855846400 is a `hidden beast` number, since 5 + 8 + 5 + 584 + 64 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4087812096 + 1768034304 = 63936^2 + 42048^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5855846407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16588624 + ... + 16588976.

Almost surely, 2^5855846400 is an apocalyptic number.

5855846400 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 5855846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10877116041).

5855846400 is an abundant number, since it is smaller than the sum of its proper divisors (15898385682).

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

5855846400 is an equidigital number, since it uses as much as digits as its factorization.

5855846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The square root of 5855846400 is about 76523.5022721778. The cubic root of 5855846400 is about 1802.4499971060.

The spelling of 5855846400 in words is "five billion, eight hundred fifty-five million, eight hundred forty-six thousand, four hundred".