6875053900800 has 264 divisors, whose sum is σ = 22776747924000. Its totient is φ = 1828963614720.

The previous prime is 6875053900789. The next prime is 6875053900801. The reversal of 6875053900800 is 80093505786.

It is a super-2 number, since 2×6875053900800² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6875053900801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32072376 + ... + 32286024.

Almost surely, 2^{6875053900800} is an apocalyptic number.

6875053900800 is a gapful number since it is divisible by the number (60) 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 6875053900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11388373962000).

6875053900800 is an abundant number, since it is smaller than the sum of its proper divisors (15901694023200).

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

6875053900800 is a wasteful number, since it uses less digits than its factorization.

6875053900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214101 (or 214078 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 6875053900800 in words is "six trillion, eight hundred seventy-five billion, fifty-three million, nine hundred thousand, eight hundred".