6082334805120 has 512 divisors, whose sum is σ = 23387150131200. Its totient is φ = 1313468006400.

The previous prime is 6082334805077. The next prime is 6082334805149. The reversal of 6082334805120 is 215084332806.

It is a Cunningham number, because it is equal to 2466239²-1.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93684670 + ... + 93749570.

It is an arithmetic number, because the mean of its divisors is an integer number (45678027600).

Almost surely, 2^{6082334805120} is an apocalyptic number.

6082334805120 is a gapful number since it is divisible by the number (60) 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 6082334805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11693575065600).

6082334805120 is an abundant number, since it is smaller than the sum of its proper divisors (17304815326080).

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

6082334805120 is a wasteful number, since it uses less digits than its factorization.

6082334805120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65316 (or 65304 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 6082334805120 in words is "six trillion, eighty-two billion, three hundred thirty-four million, eight hundred five thousand, one hundred twenty".