5857051200 has 1344 divisors, whose sum is σ = 27430244352. Its totient is φ = 1054310400.

The previous prime is 5857051181. The next prime is 5857051273. The reversal of 5857051200 is 21507585.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 110510374 + ... + 110510426.

It is an arithmetic number, because the mean of its divisors is an integer number (20409408).

Almost surely, 2^5857051200 is an apocalyptic number.

5857051200 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 5857051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13715122176).

5857051200 is an abundant number, since it is smaller than the sum of its proper divisors (21573193152).

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

5857051200 is a wasteful number, since it uses less digits than its factorization.

5857051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 117 counting only the distinct ones).

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

The square root of 5857051200 is about 76531.3739586583. The cubic root of 5857051200 is about 1802.5736025136.

Adding to 5857051200 its reverse (21507585), we get a palindrome (5878558785).

The spelling of 5857051200 in words is "five billion, eight hundred fifty-seven million, fifty-one thousand, two hundred".