6002492160000 has 2880 divisors, whose sum is σ = 25900774099200. Its totient is φ = 1226244096000.

The previous prime is 6002492159929. The next prime is 6002492160061. The reversal of 6002492160000 is 612942006.

It is a super-2 number, since 2×6002492160000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 6002492160000.

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 239 ways as a sum of consecutive naturals, for example, 82225919964 + ... + 82225920036.

It is an arithmetic number, because the mean of its divisors is an integer number (8993324340).

Almost surely, 2^{6002492160000} is an apocalyptic number.

6002492160000 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 6002492160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12950387049600).

6002492160000 is an abundant number, since it is smaller than the sum of its proper divisors (19898281939200).

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

6002492160000 is a wasteful number, since it uses less digits than its factorization.

6002492160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 6002492160000 in words is "six trillion, two billion, four hundred ninety-two million, one hundred sixty thousand".