866243354296320 has 8208 divisors, whose sum is σ = 4459071504625920. Its totient is φ = 157407699271680.

The previous prime is 866243354296291. The next prime is 866243354296337. The reversal of 866243354296320 is 23692453342668.

866243354296320 is a `hidden beast` number, since 8 + 6 + 6 + 2 + 4 + 3 + 3 + 542 + 9 + 63 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (8208).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 45591755489271 + ... + 45591755489289.

Almost surely, 2^{866243354296320} is an apocalyptic number.

866243354296320 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 866243354296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229535752312960).

866243354296320 is an abundant number, since it is smaller than the sum of its proper divisors (3592828150329600).

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

866243354296320 is an equidigital number, since it uses as much as digits as its factorization.

866243354296320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 63.

The spelling of 866243354296320 in words is "eight hundred sixty-six trillion, two hundred forty-three billion, three hundred fifty-four million, two hundred ninety-six thousand, three hundred twenty".