4895720225280 has 960 divisors, whose sum is σ = 17787040128000. Its totient is φ = 1243065876480.

The previous prime is 4895720225251. The next prime is 4895720225281. The reversal of 4895720225280 is 825220275984.

4895720225280 is a `hidden beast` number, since 4 + 8 + 95 + 7 + 2 + 0 + 22 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (4895720225281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19049494912 + ... + 19049495168.

It is an arithmetic number, because the mean of its divisors is an integer number (18528166800).

Almost surely, 2^{4895720225280} is an apocalyptic number.

4895720225280 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 4895720225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8893520064000).

4895720225280 is an abundant number, since it is smaller than the sum of its proper divisors (12891319902720).

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

4895720225280 is a wasteful number, since it uses less digits than its factorization.

4895720225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 4895720225280 in words is "four trillion, eight hundred ninety-five billion, seven hundred twenty million, two hundred twenty-five thousand, two hundred eighty".