4868029075200 has 216 divisors, whose sum is σ = 16192018311168. Its totient is φ = 1287918858240.

The previous prime is 4868029075193. The next prime is 4868029075201. The reversal of 4868029075200 is 25709208684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4868029075201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1440199 + ... + 3436601.

Almost surely, 2^{4868029075200} is an apocalyptic number.

4868029075200 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 4868029075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8096009155584).

4868029075200 is an abundant number, since it is smaller than the sum of its proper divisors (11323989235968).

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

4868029075200 is a wasteful number, since it uses less digits than its factorization.

4868029075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996559 (or 1996540 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 4868029075200 in words is "four trillion, eight hundred sixty-eight billion, twenty-nine million, seventy-five thousand, two hundred".