866825116357200 has 960 divisors, whose sum is σ = 3730441728448512. Its totient is φ = 166164035788800.

The previous prime is 866825116357169. The next prime is 866825116357201. The reversal of 866825116357200 is 2753611528668.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (866825116357201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2002183954 + ... + 2002616846.

Almost surely, 2^{866825116357200} is an apocalyptic number.

866825116357200 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 866825116357200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865220864224256).

866825116357200 is an abundant number, since it is smaller than the sum of its proper divisors (2863616612091312).

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

866825116357200 is a wasteful number, since it uses less digits than its factorization.

866825116357200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434612 (or 434601 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 866825116357200 in words is "eight hundred sixty-six trillion, eight hundred twenty-five billion, one hundred sixteen million, three hundred fifty-seven thousand, two hundred".