266947888900 has 405 divisors, whose sum is σ = 753583984335. Its totient is φ = 81840528000.

The previous prime is 266947888861. The next prime is 266947888927. The reversal of 266947888900 is 9888749662.

The square root of 266947888900 is 516670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 122961032964 + 143986855936 = 350658^2 + 379456^2 .

It is a super-2 number, since 2×266947888900² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4376194870 + ... + 4376194930.

Almost surely, 2^266947888900 is an apocalyptic number.

266947888900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

266947888900 is the 516670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266947888900

266947888900 is an abundant number, since it is smaller than the sum of its proper divisors (486636095435).

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

266947888900 is an equidigital number, since it uses as much as digits as its factorization.

266947888900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 67.

The spelling of 266947888900 in words is "two hundred sixty-six billion, nine hundred forty-seven million, eight hundred eighty-eight thousand, nine hundred".