5085854484480 has 2304 divisors, whose sum is σ = 23117720371200. Its totient is φ = 1003290624000.

The previous prime is 5085854484479. The next prime is 5085854484499. The reversal of 5085854484480 is 844844585805.

5085854484480 is a `hidden beast` number, since 5 + 0 + 8 + 5 + 8 + 544 + 8 + 4 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13419140931 + ... + 13419141309.

It is an arithmetic number, because the mean of its divisors is an integer number (10033732800).

Almost surely, 2^{5085854484480} 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 5085854484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11558860185600).

5085854484480 is an abundant number, since it is smaller than the sum of its proper divisors (18031865886720).

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

5085854484480 is a wasteful number, since it uses less digits than its factorization.

5085854484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 131072000, while the sum is 63.

The spelling of 5085854484480 in words is "five trillion, eighty-five billion, eight hundred fifty-four million, four hundred eighty-four thousand, four hundred eighty".