6871606886400 has 1008 divisors, whose sum is σ = 24714840648960. Its totient is φ = 1679399321600.

The previous prime is 6871606886357. The next prime is 6871606886461. The reversal of 6871606886400 is 46886061786.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 52455014335 + ... + 52455014465.

It is an arithmetic number, because the mean of its divisors is an integer number (24518691120).

Almost surely, 2^{6871606886400} is an apocalyptic number.

6871606886400 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 6871606886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12357420324480).

6871606886400 is an abundant number, since it is smaller than the sum of its proper divisors (17843233762560).

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

6871606886400 is an equidigital number, since it uses as much as digits as its factorization.

6871606886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

The spelling of 6871606886400 in words is "six trillion, eight hundred seventy-one billion, six hundred six million, eight hundred eighty-six thousand, four hundred".