5225280480 has 288 divisors, whose sum is σ = 21578042304. Its totient is φ = 1124057088.

The previous prime is 5225280443. The next prime is 5225280481. The reversal of 5225280480 is 840825225.

5225280480 is a `hidden beast` number, since 52 + 2 + 52 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5225280481) 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 47 ways as a sum of consecutive naturals, for example, 156114 + ... + 186606.

It is an arithmetic number, because the mean of its divisors is an integer number (74923758).

Almost surely, 2^5225280480 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 5225280480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10789021152).

5225280480 is an abundant number, since it is smaller than the sum of its proper divisors (16352761824).

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

5225280480 is a wasteful number, since it uses less digits than its factorization.

5225280480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30538 (or 30527 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 5225280480 is about 72286.1015686971. The cubic root of 5225280480 is about 1735.2812296217.

The spelling of 5225280480 in words is "five billion, two hundred twenty-five million, two hundred eighty thousand, four hundred eighty".