866601041074560 has 384 divisors, whose sum is σ = 3265100299712160. Its totient is φ = 210048111083520.

The previous prime is 866601041074543. The next prime is 866601041074567. The reversal of 866601041074560 is 65470140106668.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×866601041074560³ (a number of 46 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 866601041074497 and 866601041074506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (866601041074567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359507232 + ... + 361909728.

Almost surely, 2^{866601041074560} is an apocalyptic number.

866601041074560 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 866601041074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632550149856080).

866601041074560 is an abundant number, since it is smaller than the sum of its proper divisors (2398499258637600).

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

866601041074560 is a wasteful number, since it uses less digits than its factorization.

866601041074560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408226 (or 2408211 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 866601041074560 in words is "eight hundred sixty-six trillion, six hundred one billion, forty-one million, seventy-four thousand, five hundred sixty".