5089867735680 has 2048 divisors, whose sum is σ = 22763462400000. Its totient is φ = 1059474898944.

The previous prime is 5089867735679. The next prime is 5089867735703. The reversal of 5089867735680 is 865377689805.

5089867735680 is a `hidden beast` number, since 50 + 8 + 9 + 8 + 6 + 7 + 7 + 3 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5089867735599 and 5089867735608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11336008096 + ... + 11336008544.

It is an arithmetic number, because the mean of its divisors is an integer number (11114971875).

Almost surely, 2^{5089867735680} 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 5089867735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11381731200000).

5089867735680 is an abundant number, since it is smaller than the sum of its proper divisors (17673594664320).

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

5089867735680 is an equidigital number, since it uses as much as digits as its factorization.

5089867735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 5089867735680 in words is "five trillion, eighty-nine billion, eight hundred sixty-seven million, seven hundred thirty-five thousand, six hundred eighty".