6056283340800 has 2592 divisors, whose sum is σ = 28459418480640. Its totient is φ = 1248539443200.

The previous prime is 6056283340799. The next prime is 6056283340813. The reversal of 6056283340800 is 80433826506.

It is a happy number.

6056283340800 is a `hidden beast` number, since 6 + 0 + 562 + 8 + 3 + 3 + 4 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47687270337 + ... + 47687270463.

It is an arithmetic number, because the mean of its divisors is an integer number (10979713920).

Almost surely, 2^{6056283340800} is an apocalyptic number.

6056283340800 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 6056283340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14229709240320).

6056283340800 is an abundant number, since it is smaller than the sum of its proper divisors (22403135139840).

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

6056283340800 is a wasteful number, since it uses less digits than its factorization.

6056283340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 6056283340800 in words is "six trillion, fifty-six billion, two hundred eighty-three million, three hundred forty thousand, eight hundred".