266485718469600 has 1512 divisors, whose sum is σ = 1135450662287760. Its totient is φ = 60867447459840.

The previous prime is 266485718469499. The next prime is 266485718469661. The reversal of 266485718469600 is 6964817584662.

It is a happy number.

266485718469600 is a `hidden beast` number, since 2 + 6 + 6 + 4 + 8 + 5 + 7 + 1 + 8 + 4 + 6 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×266485718469600² (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 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 251 ways as a sum of consecutive naturals, for example, 56953560061 + ... + 56953564739.

It is an arithmetic number, because the mean of its divisors is an integer number (750959432730).

Almost surely, 2^{266485718469600} is an apocalyptic number.

266485718469600 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 266485718469600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567725331143880).

266485718469600 is an abundant number, since it is smaller than the sum of its proper divisors (868964943818160).

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

266485718469600 is a wasteful number, since it uses less digits than its factorization.

266485718469600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6724 (or 6689 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 266485718469600 in words is "two hundred sixty-six trillion, four hundred eighty-five billion, seven hundred eighteen million, four hundred sixty-nine thousand, six hundred".