266249096064 has 256 divisors, whose sum is σ = 906962457600. Its totient is φ = 75317299200.

The previous prime is 266249096021. The next prime is 266249096093. The reversal of 266249096064 is 460690942662.

266249096064 is a `hidden beast` number, since 2 + 6 + 6 + 2 + 490 + 96 + 0 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 266249096064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2388909 + ... + 2497875.

It is an arithmetic number, because the mean of its divisors is an integer number (3542822100).

Almost surely, 2^266249096064 is an apocalyptic number.

266249096064 is a gapful number since it is divisible by the number (24) 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 266249096064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453481228800).

266249096064 is an abundant number, since it is smaller than the sum of its proper divisors (640713361536).

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

266249096064 is a wasteful number, since it uses less digits than its factorization.

266249096064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109098 (or 109080 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 266249096064 in words is "two hundred sixty-six billion, two hundred forty-nine million, ninety-six thousand, sixty-four".