5068351534400 has 252 divisors, whose sum is σ = 15826306489056. Its totient is φ = 1579745664000.

The previous prime is 5068351534369. The next prime is 5068351534403. The reversal of 5068351534400 is 44351538605.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5068351534403) by changing a digit.

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, 2076116 + ... + 3800915.

It is an arithmetic number, because the mean of its divisors is an integer number (62802803528).

Almost surely, 2^{5068351534400} is an apocalyptic number.

5068351534400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5068351534400 is an abundant number, since it is smaller than the sum of its proper divisors (10757954954656).

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

5068351534400 is a wasteful number, since it uses less digits than its factorization.

5068351534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5877078 (or 5877056 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 44.

The spelling of 5068351534400 in words is "five trillion, sixty-eight billion, three hundred fifty-one million, five hundred thirty-four thousand, four hundred".