5366238292800 has 4032 divisors, whose sum is σ = 26038625088000. Its totient is φ = 1072963584000.

The previous prime is 5366238292787. The next prime is 5366238292813. The reversal of 5366238292800 is 82928326635.

5366238292800 is a `hidden beast` number, since 5 + 3 + 6 + 623 + 8 + 2 + 9 + 2 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5366238292787) and next prime (5366238292813).

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×5366238292800² (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 (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 73510113564 + ... + 73510113636.

Almost surely, 2^{5366238292800} is an apocalyptic number.

5366238292800 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 5366238292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13019312544000).

5366238292800 is an abundant number, since it is smaller than the sum of its proper divisors (20672386795200).

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

5366238292800 is a wasteful number, since it uses less digits than its factorization.

5366238292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 5366238292800 in words is "five trillion, three hundred sixty-six billion, two hundred thirty-eight million, two hundred ninety-two thousand, eight hundred".