266225040900 has 1215 divisors, whose sum is σ = 1094619458751. Its totient is φ = 56170558080.

The previous prime is 266225040877. The next prime is 266225040941. The reversal of 266225040900 is 9040522662.

The square root of 266225040900 is 515970.

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

266225040900 is a `hidden beast` number, since 2 + 6 + 62 + 2 + 504 + 0 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68619898116 + 197605142784 = 261954^2 + 444528^2 .

It is a tau number, because it is divible by the number of its divisors (1215).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 20478849294 + ... + 20478849306.

Almost surely, 2^266225040900 is an apocalyptic number.

266225040900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

266225040900 is the 515970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266225040900

266225040900 is an abundant number, since it is smaller than the sum of its proper divisors (828394417851).

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

266225040900 is an frugal number, since it uses more digits than its factorization.

266225040900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 266225040900 by its sum of digits (36), we get a square (9584101472400 = 3095820²).

266225040900 divided by its sum of digits (36) gives a square (7395140025 = 85995²).

The spelling of 266225040900 in words is "two hundred sixty-six billion, two hundred twenty-five million, forty thousand, nine hundred".