266102825472 has 960 divisors, whose sum is σ = 931483238400. Its totient is φ = 72260812800.

The previous prime is 266102825453. The next prime is 266102825519. The reversal of 266102825472 is 274528201662.

266102825472 is a `hidden beast` number, since 2 + 6 + 610 + 2 + 8 + 25 + 4 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1337200029 + ... + 1337200227.

It is an arithmetic number, because the mean of its divisors is an integer number (970295040).

Almost surely, 2^266102825472 is an apocalyptic number.

266102825472 is a gapful number since it is divisible by the number (22) 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 266102825472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465741619200).

266102825472 is an abundant number, since it is smaller than the sum of its proper divisors (665380412928).

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

266102825472 is a wasteful number, since it uses less digits than its factorization.

266102825472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 266102825472 in words is "two hundred sixty-six billion, one hundred two million, eight hundred twenty-five thousand, four hundred seventy-two".