4853116800 has 864 divisors, whose sum is σ = 21321682200. Its totient is φ = 1045094400.

The previous prime is 4853116799. The next prime is 4853116847. The reversal of 4853116800 is 86113584.

4853116800 is a `hidden beast` number, since 48 + 531 + 1 + 6 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 26812710 + ... + 26812890.

Almost surely, 2^4853116800 is an apocalyptic number.

4853116800 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 4853116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10660841100).

4853116800 is an abundant number, since it is smaller than the sum of its proper divisors (16468565400).

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

4853116800 is a wasteful number, since it uses less digits than its factorization.

4853116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4853116800 is about 69664.3151118275. The cubic root of 4853116800 is about 1693.0648026592.

The spelling of 4853116800 in words is "four billion, eight hundred fifty-three million, one hundred sixteen thousand, eight hundred".