5336268364800 has 396 divisors, whose sum is σ = 19125412345416. Its totient is φ = 1421586432000.

The previous prime is 5336268364783. The next prime is 5336268364829. The reversal of 5336268364800 is 84638626335.

5336268364800 is a `hidden beast` number, since 5 + 3 + 3 + 626 + 8 + 3 + 6 + 4 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×5336268364800² (a number of 26 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 242139382 + ... + 242161418.

Almost surely, 2^{5336268364800} is an apocalyptic number.

5336268364800 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 5336268364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9562706172708).

5336268364800 is an abundant number, since it is smaller than the sum of its proper divisors (13789143980616).

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

5336268364800 is a wasteful number, since it uses less digits than its factorization.

5336268364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23124 (or 23098 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 5336268364800 in words is "five trillion, three hundred thirty-six billion, two hundred sixty-eight million, three hundred sixty-four thousand, eight hundred".