6002116547658 has 192 divisors, whose sum is σ = 16133909557248. Its totient is φ = 1466899822080.

The previous prime is 6002116547639. The next prime is 6002116547677. The reversal of 6002116547658 is 8567456112006.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6002116547639) and next prime (6002116547677).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 6002116547658.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 247773735 + ... + 247797957.

It is an arithmetic number, because the mean of its divisors is an integer number (84030778944).

Almost surely, 2^{6002116547658} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6002116547658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8066954778624).

6002116547658 is an abundant number, since it is smaller than the sum of its proper divisors (10131793009590).

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

6002116547658 is a wasteful number, since it uses less digits than its factorization.

6002116547658 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28777 (or 28770 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 6002116547658 in words is "six trillion, two billion, one hundred sixteen million, five hundred forty-seven thousand, six hundred fifty-eight".