4878802216800 has 1152 divisors, whose sum is σ = 18667280217600. Its totient is φ = 1228016885760.

The previous prime is 4878802216777. The next prime is 4878802216819. The reversal of 4878802216800 is 86122088784.

4878802216800 is a `hidden beast` number, since 487 + 8 + 80 + 2 + 2 + 1 + 6 + 80 + 0 = 666.

It is a super-2 number, since 2×4878802216800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5563057962 + ... + 5563058838.

It is an arithmetic number, because the mean of its divisors is an integer number (16204236300).

Almost surely, 2^{4878802216800} is an apocalyptic number.

4878802216800 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 4878802216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9333640108800).

4878802216800 is an abundant number, since it is smaller than the sum of its proper divisors (13788478000800).

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

4878802216800 is a wasteful number, since it uses less digits than its factorization.

4878802216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 4878802216800 in words is "four trillion, eight hundred seventy-eight billion, eight hundred two million, two hundred sixteen thousand, eight hundred".