5993155072800 has 1728 divisors, whose sum is σ = 26026671686400. Its totient is φ = 1342998558720.

The previous prime is 5993155072789. The next prime is 5993155072873. The reversal of 5993155072800 is 82705513995.

5993155072800 is a `hidden beast` number, since 5 + 9 + 9 + 3 + 1 + 550 + 7 + 2 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4543710541 + ... + 4543711859.

It is an arithmetic number, because the mean of its divisors is an integer number (15061731300).

Almost surely, 2^{5993155072800} is an apocalyptic number.

5993155072800 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 5993155072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13013335843200).

5993155072800 is an abundant number, since it is smaller than the sum of its proper divisors (20033516613600).

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

5993155072800 is a wasteful number, since it uses less digits than its factorization.

5993155072800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 5993155072800 in words is "five trillion, nine hundred ninety-three billion, one hundred fifty-five million, seventy-two thousand, eight hundred".