266656782080 has 288 divisors, whose sum is σ = 712057651200. Its totient is φ = 95012536320.

The previous prime is 266656782061. The next prime is 266656782089. The reversal of 266656782080 is 80287656662.

266656782080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×266656782080² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266656782089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308987729 + ... + 308988591.

It is an arithmetic number, because the mean of its divisors is an integer number (2472422400).

Almost surely, 2^266656782080 is an apocalyptic number.

266656782080 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 266656782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356028825600).

266656782080 is an abundant number, since it is smaller than the sum of its proper divisors (445400869120).

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

266656782080 is a wasteful number, since it uses less digits than its factorization.

266656782080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 56.

The spelling of 266656782080 in words is "two hundred sixty-six billion, six hundred fifty-six million, seven hundred eighty-two thousand, eighty".