5855071200 has 288 divisors, whose sum is σ = 20961908352. Its totient is φ = 1407744000.

The previous prime is 5855071177. The next prime is 5855071231. The reversal of 5855071200 is 21705585.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3457554 + ... + 3459246.

It is an arithmetic number, because the mean of its divisors is an integer number (72784404).

Almost surely, 2^5855071200 is an apocalyptic number.

5855071200 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 5855071200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10480954176).

5855071200 is an abundant number, since it is smaller than the sum of its proper divisors (15106837152).

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

5855071200 is a wasteful number, since it uses less digits than its factorization.

5855071200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 33.

The square root of 5855071200 is about 76518.4369939690. The cubic root of 5855071200 is about 1802.3704571726.

Adding to 5855071200 its reverse (21705585), we get a palindrome (5876776785).

The spelling of 5855071200 in words is "five billion, eight hundred fifty-five million, seventy-one thousand, two hundred".