4879307059200 has 936 divisors, whose sum is σ = 20027663385600. Its totient is φ = 1112237015040.

The previous prime is 4879307059199. The next prime is 4879307059259. The reversal of 4879307059200 is 29507039784.

4879307059200 is a `hidden beast` number, since 4 + 87 + 9 + 307 + 0 + 59 + 200 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3090124011 + ... + 3090125589.

Almost surely, 2^{4879307059200} is an apocalyptic number.

4879307059200 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 4879307059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10013831692800).

4879307059200 is an abundant number, since it is smaller than the sum of its proper divisors (15148356326400).

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

4879307059200 is a wasteful number, since it uses less digits than its factorization.

4879307059200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 4879307059200 in words is "four trillion, eight hundred seventy-nine billion, three hundred seven million, fifty-nine thousand, two hundred".