266461132896 has 864 divisors, whose sum is σ = 999855747072. Its totient is φ = 69289758720.

The previous prime is 266461132891. The next prime is 266461132957. The reversal of 266461132896 is 698231164662.

266461132896 is a `hidden beast` number, since 2 + 66 + 461 + 1 + 32 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266461132891) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 200798985 + ... + 200800311.

It is an arithmetic number, because the mean of its divisors is an integer number (1157240448).

Almost surely, 2^266461132896 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 266461132896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499927873536).

266461132896 is an abundant number, since it is smaller than the sum of its proper divisors (733394614176).

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

266461132896 is a wasteful number, since it uses less digits than its factorization.

266461132896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1387 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 266461132896 in words is "two hundred sixty-six billion, four hundred sixty-one million, one hundred thirty-two thousand, eight hundred ninety-six".