4800025560 has 128 divisors (see below), whose sum is σ = 16005807360. Its totient is φ = 1141670400.

The previous prime is 4800025511. The next prime is 4800025589. The reversal of 4800025560 is 655200084.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35655 + ... + 104265.

It is an arithmetic number, because the mean of its divisors is an integer number (125045370).

Almost surely, 2^4800025560 is an apocalyptic number.

4800025560 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 4800025560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8002903680).

4800025560 is an abundant number, since it is smaller than the sum of its proper divisors (11205781800).

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

4800025560 is a wasteful number, since it uses less digits than its factorization.

4800025560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68689 (or 68685 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 4800025560 is about 69282.2167659205. The cubic root of 4800025560 is about 1686.8683247841.

The spelling of 4800025560 in words is "four billion, eight hundred million, twenty-five thousand, five hundred sixty".