866830255855200 has 2592 divisors, whose sum is σ = 3903650065092960. Its totient is φ = 179354920550400.

The previous prime is 866830255855199. The next prime is 866830255855211. The reversal of 866830255855200 is 2558552038668.

866830255855200 is a `hidden beast` number, since 8 + 6 + 6 + 8 + 3 + 0 + 2 + 558 + 55 + 20 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 97080324336 + ... + 97080333264.

It is an arithmetic number, because the mean of its divisors is an integer number (1506037833755).

Almost surely, 2^{866830255855200} is an apocalyptic number.

866830255855200 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 866830255855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951825032546480).

866830255855200 is an abundant number, since it is smaller than the sum of its proper divisors (3036819809237760).

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

866830255855200 is a wasteful number, since it uses less digits than its factorization.

866830255855200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9390 (or 9367 counting only the distinct ones).

The product of its (nonzero) digits is 138240000, while the sum is 63.

The spelling of 866830255855200 in words is "eight hundred sixty-six trillion, eight hundred thirty billion, two hundred fifty-five million, eight hundred fifty-five thousand, two hundred".