5317385356800 has 2400 divisors, whose sum is σ = 23075210949120. Its totient is φ = 1195587993600.

The previous prime is 5317385356757. The next prime is 5317385356813. The reversal of 5317385356800 is 86535837135.

5317385356800 is a `hidden beast` number, since 5 + 3 + 1 + 73 + 8 + 5 + 3 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×5317385356800² (a number of 26 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11484633369 + ... + 11484633831.

Almost surely, 2^{5317385356800} is an apocalyptic number.

5317385356800 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 5317385356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11537605474560).

5317385356800 is an abundant number, since it is smaller than the sum of its proper divisors (17757825592320).

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

5317385356800 is a wasteful number, since it uses less digits than its factorization.

5317385356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 5317385356800 in words is "five trillion, three hundred seventeen billion, three hundred eighty-five million, three hundred fifty-six thousand, eight hundred".