5368107340800 has 1056 divisors, whose sum is σ = 20368986281600. Its totient is φ = 1384541061120.

The previous prime is 5368107340787. The next prime is 5368107340811. The reversal of 5368107340800 is 80437018635.

5368107340800 is a `hidden beast` number, since 536 + 8 + 1 + 0 + 7 + 34 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3239653572 + ... + 3239655228.

Almost surely, 2^{5368107340800} is an apocalyptic number.

5368107340800 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 5368107340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10184493140800).

5368107340800 is an abundant number, since it is smaller than the sum of its proper divisors (15000878940800).

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

5368107340800 is a wasteful number, since it uses less digits than its factorization.

5368107340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 5368107340800 in words is "five trillion, three hundred sixty-eight billion, one hundred seven million, three hundred forty thousand, eight hundred".