266688585031680 has 1008 divisors, whose sum is σ = 1098281179120320. Its totient is φ = 59660235177984.

The previous prime is 266688585031669. The next prime is 266688585031699. The reversal of 266688585031680 is 86130585886662.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×266688585031680² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 266688585031599 and 266688585031608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 848820856 + ... + 849134984.

Almost surely, 2^{266688585031680} is an apocalyptic number.

266688585031680 is a gapful number since it is divisible by the number (20) 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 266688585031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549140589560160).

266688585031680 is an abundant number, since it is smaller than the sum of its proper divisors (831592594088640).

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

266688585031680 is a wasteful number, since it uses less digits than its factorization.

266688585031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314227 (or 314193 counting only the distinct ones).

The product of its (nonzero) digits is 796262400, while the sum is 72.

The spelling of 266688585031680 in words is "two hundred sixty-six trillion, six hundred eighty-eight billion, five hundred eighty-five million, thirty-one thousand, six hundred eighty".