6002855142912 has 480 divisors, whose sum is σ = 18615263546880. Its totient is φ = 1928895897600.

The previous prime is 6002855142887. The next prime is 6002855142929. The reversal of 6002855142912 is 2192415582006.

6002855142912 is a `hidden beast` number, since 6 + 0 + 0 + 2 + 8 + 551 + 4 + 2 + 91 + 2 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3792074473 + ... + 3792076055.

It is an arithmetic number, because the mean of its divisors is an integer number (38781799056).

Almost surely, 2^{6002855142912} 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 6002855142912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9307631773440).

6002855142912 is an abundant number, since it is smaller than the sum of its proper divisors (12612408403968).

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

6002855142912 is a wasteful number, since it uses less digits than its factorization.

6002855142912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 6002855142912 in words is "six trillion, two billion, eight hundred fifty-five million, one hundred forty-two thousand, nine hundred twelve".