866786235086772 has 288 divisors, whose sum is σ = 2942117627904000. Its totient is φ = 207799846467840.

The previous prime is 866786235086743. The next prime is 866786235086803. The reversal of 866786235086772 is 277680532687668.

866786235086772 is a `hidden beast` number, since 8 + 6 + 6 + 7 + 86 + 23 + 508 + 6 + 7 + 7 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 866786235086691 and 866786235086700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 356373229 + ... + 358797227.

It is an arithmetic number, because the mean of its divisors is an integer number (10215686208000).

Almost surely, 2^{866786235086772} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 866786235086772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471058813952000).

866786235086772 is an abundant number, since it is smaller than the sum of its proper divisors (2075331392817228).

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

866786235086772 is a wasteful number, since it uses less digits than its factorization.

866786235086772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433963 (or 2433958 counting only the distinct ones).

The product of its (nonzero) digits is 13655900160, while the sum is 81.

The spelling of 866786235086772 in words is "eight hundred sixty-six trillion, seven hundred eighty-six billion, two hundred thirty-five million, eighty-six thousand, seven hundred seventy-two".