4875811200 has 480 divisors, whose sum is σ = 19390269360. Its totient is φ = 1199370240.

The previous prime is 4875811189. The next prime is 4875811201. The reversal of 4875811200 is 21185784.

4875811200 is a `hidden beast` number, since 487 + 58 + 1 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4875811201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3368877 + ... + 3370323.

Almost surely, 2^4875811200 is an apocalyptic number.

4875811200 is a gapful number since it is divisible by the number (40) 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 4875811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9695134680).

4875811200 is an abundant number, since it is smaller than the sum of its proper divisors (14514458160).

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

4875811200 is a wasteful number, since it uses less digits than its factorization.

4875811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 4875811200 is about 69827.0091010635. The cubic root of 4875811200 is about 1695.6997658883.

Adding to 4875811200 its reverse (21185784), we get a palindrome (4896996984).

The spelling of 4875811200 in words is "four billion, eight hundred seventy-five million, eight hundred eleven thousand, two hundred".