6054559347200 has 960 divisors, whose sum is σ = 19122226599168. Its totient is φ = 1848744345600.

The previous prime is 6054559347139. The next prime is 6054559347203. The reversal of 6054559347200 is 27439554506.

It is a hoax number, since the sum of its digits (50) 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 (50).

It is not an unprimeable number, because it can be changed into a prime (6054559347203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4632408947 + ... + 4632410253.

Almost surely, 2^{6054559347200} 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 6054559347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9561113299584).

6054559347200 is an abundant number, since it is smaller than the sum of its proper divisors (13067667251968).

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

6054559347200 is a wasteful number, since it uses less digits than its factorization.

6054559347200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 50.

The spelling of 6054559347200 in words is "six trillion, fifty-four billion, five hundred fifty-nine million, three hundred forty-seven thousand, two hundred".