266368031983872 has 3456 divisors, whose sum is σ = 1031066896204800. Its totient is φ = 64657398693888.

The previous prime is 266368031983871. The next prime is 266368031983873. The reversal of 266368031983872 is 278389130863662.

266368031983872 is a `hidden beast` number, since 2 + 6 + 6 + 368 + 0 + 3 + 198 + 3 + 8 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (266368031983871) and next prime (266368031983873).

It is a super-2 number, since 2×266368031983872² (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 self number, because there is not a number n which added to its sum of digits gives 266368031983872.

It is not an unprimeable number, because it can be changed into a prime (266368031983871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3648877150428 + ... + 3648877150500.

It is an arithmetic number, because the mean of its divisors is an integer number (298341115800).

Almost surely, 2^{266368031983872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266368031983872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515533448102400).

266368031983872 is an abundant number, since it is smaller than the sum of its proper divisors (764698864220928).

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

266368031983872 is a wasteful number, since it uses less digits than its factorization.

266368031983872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 266368031983872 in words is "two hundred sixty-six trillion, three hundred sixty-eight billion, thirty-one million, nine hundred eighty-three thousand, eight hundred seventy-two".