5217007585680 has 960 divisors, whose sum is σ = 20201865854976. Its totient is φ = 1194988032000.

The previous prime is 5217007585661. The next prime is 5217007585817. The reversal of 5217007585680 is 865857007125.

5217007585680 is a `hidden beast` number, since 5 + 2 + 1 + 7 + 0 + 0 + 75 + 8 + 568 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1865214042 + ... + 1865216838.

Almost surely, 2^{5217007585680} 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 5217007585680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10100932927488).

5217007585680 is an abundant number, since it is smaller than the sum of its proper divisors (14984858269296).

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

5217007585680 is a wasteful number, since it uses less digits than its factorization.

5217007585680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036 (or 3027 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 5217007585680 in words is "five trillion, two hundred seventeen billion, seven million, five hundred eighty-five thousand, six hundred eighty".