4798828108800 has 2112 divisors, whose sum is σ = 20579805665280. Its totient is φ = 1082916864000.

The previous prime is 4798828108747. The next prime is 4798828108807. The reversal of 4798828108800 is 88018288974.

4798828108800 is a `hidden beast` number, since 479 + 8 + 8 + 2 + 81 + 0 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4798828108807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17707852665 + ... + 17707852935.

Almost surely, 2^{4798828108800} is an apocalyptic number.

4798828108800 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 4798828108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10289902832640).

4798828108800 is an abundant number, since it is smaller than the sum of its proper divisors (15780977556480).

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

4798828108800 is a wasteful number, since it uses less digits than its factorization.

4798828108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 63.

The spelling of 4798828108800 in words is "four trillion, seven hundred ninety-eight billion, eight hundred twenty-eight million, one hundred eight thousand, eight hundred".