5280221913120 has 3456 divisors, whose sum is σ = 25659941529600. Its totient is φ = 999806976000.

The previous prime is 5280221913077. The next prime is 5280221913199. The reversal of 5280221913120 is 213191220825.

5280221913120 is a `hidden beast` number, since 5 + 280 + 221 + 9 + 131 + 20 = 666.

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 polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 74369322685 + ... + 74369322755.

It is an arithmetic number, because the mean of its divisors is an integer number (7424751600).

Almost surely, 2^{5280221913120} 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 5280221913120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12829970764800).

5280221913120 is an abundant number, since it is smaller than the sum of its proper divisors (20379719616480).

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

5280221913120 is a wasteful number, since it uses less digits than its factorization.

5280221913120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 5280221913120 in words is "five trillion, two hundred eighty billion, two hundred twenty-one million, nine hundred thirteen thousand, one hundred twenty".