866758112304 has 320 divisors, whose sum is σ = 2856455746560. Its totient is φ = 220476211200.

The previous prime is 866758112267. The next prime is 866758112357. The reversal of 866758112304 is 403211857668.

866758112304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76072432 + ... + 76083824.

It is an arithmetic number, because the mean of its divisors is an integer number (8926424208).

Almost surely, 2^866758112304 is an apocalyptic number.

866758112304 is a gapful number since it is divisible by the number (84) 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 866758112304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428227873280).

866758112304 is an abundant number, since it is smaller than the sum of its proper divisors (1989697634256).

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

866758112304 is a wasteful number, since it uses less digits than its factorization.

866758112304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12148 (or 12142 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 866758112304 in words is "eight hundred sixty-six billion, seven hundred fifty-eight million, one hundred twelve thousand, three hundred four".