6000522913800 has 960 divisors, whose sum is σ = 22330849305600. Its totient is φ = 1489980096000.

The previous prime is 6000522913753. The next prime is 6000522913831. The reversal of 6000522913800 is 83192250006.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2352222525 + ... + 2352225075.

It is an arithmetic number, because the mean of its divisors is an integer number (23261301360).

Almost surely, 2^{6000522913800} is an apocalyptic number.

6000522913800 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 6000522913800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11165424652800).

6000522913800 is an abundant number, since it is smaller than the sum of its proper divisors (16330326391800).

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

6000522913800 is a wasteful number, since it uses less digits than its factorization.

6000522913800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 6000522913800 in words is "six trillion, five hundred twenty-two million, nine hundred thirteen thousand, eight hundred".