5982227971200 has 1152 divisors, whose sum is σ = 23304063444480. Its totient is φ = 1452462243840.

The previous prime is 5982227971189. The next prime is 5982227971201. The reversal of 5982227971200 is 21797222895.

5982227971200 is a `hidden beast` number, since 59 + 82 + 227 + 97 + 1 + 200 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5982227971201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11438294139 + ... + 11438294661.

It is an arithmetic number, because the mean of its divisors is an integer number (20229221740).

Almost surely, 2^{5982227971200} is an apocalyptic number.

5982227971200 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 5982227971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11652031722240).

5982227971200 is an abundant number, since it is smaller than the sum of its proper divisors (17321835473280).

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

5982227971200 is a wasteful number, since it uses less digits than its factorization.

5982227971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 5982227971200 in words is "five trillion, nine hundred eighty-two billion, two hundred twenty-seven million, nine hundred seventy-one thousand, two hundred".