5085587865600 has 1152 divisors, whose sum is σ = 20169250826400. Its totient is φ = 1214565580800.

The previous prime is 5085587865593. The next prime is 5085587865629. The reversal of 5085587865600 is 65687855805.

5085587865600 is a `hidden beast` number, since 5 + 0 + 8 + 558 + 78 + 6 + 5 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5920357971 + ... + 5920358829.

Almost surely, 2^{5085587865600} is an apocalyptic number.

5085587865600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5085587865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10084625413200).

5085587865600 is an abundant number, since it is smaller than the sum of its proper divisors (15083662960800).

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

5085587865600 is a wasteful number, since it uses less digits than its factorization.

5085587865600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 80640000, while the sum is 63.

The spelling of 5085587865600 in words is "five trillion, eighty-five billion, five hundred eighty-seven million, eight hundred sixty-five thousand, six hundred".