5945847490800 has 540 divisors, whose sum is σ = 23939089998096. Its totient is φ = 1338741043200.

The previous prime is 5945847490669. The next prime is 5945847490819. The reversal of 5945847490800 is 80947485495.

5945847490800 is a `hidden beast` number, since 5 + 9 + 4 + 584 + 7 + 49 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 113096520 + ... + 113149080.

Almost surely, 2^{5945847490800} is an apocalyptic number.

5945847490800 is a gapful number since it is divisible by the number (50) 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 5945847490800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11969544999048).

5945847490800 is an abundant number, since it is smaller than the sum of its proper divisors (17993242507296).

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

5945847490800 is a wasteful number, since it uses less digits than its factorization.

5945847490800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52726 (or 52645 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 5945847490800 in words is "five trillion, nine hundred forty-five billion, eight hundred forty-seven million, four hundred ninety thousand, eight hundred".