266681368800 has 1728 divisors, whose sum is σ = 1235440926720. Its totient is φ = 52517376000.

The previous prime is 266681368781. The next prime is 266681368817. The reversal of 266681368800 is 8863186662.

It is a super-2 number, since 2×266681368800² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1013997469 + ... + 1013997731.

It is an arithmetic number, because the mean of its divisors is an integer number (714954240).

Almost surely, 2^266681368800 is an apocalyptic number.

266681368800 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 266681368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617720463360).

266681368800 is an abundant number, since it is smaller than the sum of its proper divisors (968759557920).

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

266681368800 is a wasteful number, since it uses less digits than its factorization.

266681368800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 266681368800 in words is "two hundred sixty-six billion, six hundred eighty-one million, three hundred sixty-eight thousand, eight hundred".