5482617088000 has 768 divisors, whose sum is σ = 15758268664320. Its totient is φ = 1888026624000.

The previous prime is 5482617087991. The next prime is 5482617088031. The reversal of 5482617088000 is 8807162845.

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 63 ways as a sum of consecutive naturals, for example, 3138303127 + ... + 3138304873.

It is an arithmetic number, because the mean of its divisors is an integer number (20518578990).

Almost surely, 2^{5482617088000} is an apocalyptic number.

5482617088000 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 5482617088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7879134332160).

5482617088000 is an abundant number, since it is smaller than the sum of its proper divisors (10275651576320).

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

5482617088000 is a wasteful number, since it uses less digits than its factorization.

5482617088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 49.

The spelling of 5482617088000 in words is "five trillion, four hundred eighty-two billion, six hundred seventeen million, eighty-eight thousand".