5280122880 has 576 divisors, whose sum is σ = 19869857280. Its totient is φ = 1293287424.

The previous prime is 5280122843. The next prime is 5280122893. The reversal of 5280122880 is 882210825.

It is a happy number.

5280122880 is a `hidden beast` number, since 528 + 0 + 122 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99624934 + ... + 99624986.

It is an arithmetic number, because the mean of its divisors is an integer number (34496280).

Almost surely, 2^5280122880 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 5280122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9934928640).

5280122880 is an abundant number, since it is smaller than the sum of its proper divisors (14589734400).

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

5280122880 is a wasteful number, since it uses less digits than its factorization.

5280122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 5280122880 is about 72664.4540335920. The cubic root of 5280122880 is about 1741.3310465327.

The spelling of 5280122880 in words is "five billion, two hundred eighty million, one hundred twenty-two thousand, eight hundred eighty".