5280917627520 has 640 divisors, whose sum is σ = 19740000170880. Its totient is φ = 1342846771200.

The previous prime is 5280917627471. The next prime is 5280917627599. The reversal of 5280917627520 is 257267190825.

5280917627520 is a `hidden beast` number, since 5 + 2 + 8 + 0 + 9 + 1 + 7 + 627 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×5280917627520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 394651230 + ... + 394664610.

It is an arithmetic number, because the mean of its divisors is an integer number (30843750267).

Almost surely, 2^{5280917627520} 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 5280917627520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9870000085440).

5280917627520 is an abundant number, since it is smaller than the sum of its proper divisors (14459082543360).

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

5280917627520 is a wasteful number, since it uses less digits than its factorization.

5280917627520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13766 (or 13745 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 5280917627520 in words is "five trillion, two hundred eighty billion, nine hundred seventeen million, six hundred twenty-seven thousand, five hundred twenty".