866171486880 has 1152 divisors, whose sum is σ = 3611247494400. Its totient is φ = 193286725632.

The previous prime is 866171486839. The next prime is 866171486891. The reversal of 866171486880 is 88684171668.

866171486880 is a `hidden beast` number, since 8 + 6 + 6 + 1 + 71 + 486 + 8 + 80 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2226661726 + ... + 2226662114.

It is an arithmetic number, because the mean of its divisors is an integer number (3134763450).

Almost surely, 2^866171486880 is an apocalyptic number.

866171486880 is a gapful number since it is divisible by the number (80) 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 866171486880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805623747200).

866171486880 is an abundant number, since it is smaller than the sum of its proper divisors (2745076007520).

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

866171486880 is a wasteful number, since it uses less digits than its factorization.

866171486880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 866171486880 in words is "eight hundred sixty-six billion, one hundred seventy-one million, four hundred eighty-six thousand, eight hundred eighty".