5393258917200 has 1440 divisors, whose sum is σ = 23936667955200. Its totient is φ = 1092123648000.

The previous prime is 5393258917141. The next prime is 5393258917201. The reversal of 5393258917200 is 27198523935.

5393258917200 is a `hidden beast` number, since 5 + 3 + 9 + 32 + 589 + 1 + 7 + 20 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5393258917201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1751625261 + ... + 1751628339.

It is an arithmetic number, because the mean of its divisors is an integer number (16622686080).

Almost surely, 2^{5393258917200} is an apocalyptic number.

5393258917200 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 5393258917200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11968333977600).

5393258917200 is an abundant number, since it is smaller than the sum of its proper divisors (18543409038000).

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

5393258917200 is a wasteful number, since it uses less digits than its factorization.

5393258917200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 5393258917200 in words is "five trillion, three hundred ninety-three billion, two hundred fifty-eight million, nine hundred seventeen thousand, two hundred".