4800085056 has 224 divisors, whose sum is σ = 15346558080. Its totient is φ = 1462413312.

The previous prime is 4800085039. The next prime is 4800085057. The reversal of 4800085056 is 6505800084.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4800085056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4800085057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2402650 + ... + 2404646.

It is an arithmetic number, because the mean of its divisors is an integer number (68511420).

Almost surely, 2^4800085056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4800085056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7673279040).

4800085056 is an abundant number, since it is smaller than the sum of its proper divisors (10546473024).

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

4800085056 is a wasteful number, since it uses less digits than its factorization.

4800085056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 4800085056 is about 69282.6461388420. The cubic root of 4800085056 is about 1686.8752942959.

The spelling of 4800085056 in words is "four billion, eight hundred million, eighty-five thousand, fifty-six".