866438830080 has 720 divisors, whose sum is σ = 3211949220480. Its totient is φ = 223391416320.

The previous prime is 866438830069. The next prime is 866438830087. The reversal of 866438830080 is 80038834668.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×866438830080² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 866438829999 and 866438830026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (866438830087) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 797091297 + ... + 797092383.

It is an arithmetic number, because the mean of its divisors is an integer number (4461040584).

Almost surely, 2^866438830080 is an apocalyptic number.

866438830080 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 866438830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605974610240).

866438830080 is an abundant number, since it is smaller than the sum of its proper divisors (2345510390400).

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

866438830080 is a wasteful number, since it uses less digits than its factorization.

866438830080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 866438830080 in words is "eight hundred sixty-six billion, four hundred thirty-eight million, eight hundred thirty thousand, eighty".