6866531128800 has 864 divisors, whose sum is σ = 29915960256000. Its totient is φ = 1446694318080.

The previous prime is 6866531128799. The next prime is 6866531128813. The reversal of 6866531128800 is 88211356686.

6866531128800 is a `hidden beast` number, since 6 + 8 + 6 + 6 + 531 + 1 + 28 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35334301 + ... + 35528099.

It is an arithmetic number, because the mean of its divisors is an integer number (34624954000).

Almost surely, 2^{6866531128800} is an apocalyptic number.

6866531128800 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 6866531128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14957980128000).

6866531128800 is an abundant number, since it is smaller than the sum of its proper divisors (23049429127200).

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

6866531128800 is a wasteful number, since it uses less digits than its factorization.

6866531128800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193888 (or 193872 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 6866531128800 in words is "six trillion, eight hundred sixty-six billion, five hundred thirty-one million, one hundred twenty-eight thousand, eight hundred".