26260192780900 has 81 divisors (see below), whose sum is σ = 61706803012491. Its totient is φ = 9695825206080.

The previous prime is 26260192780897. The next prime is 26260192780907. The reversal of 26260192780900 is 908729106262.

The square root of 26260192780900 is 5124470.

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 6768603535716 + 19491589245184 = 2601654^2 + 4414928^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (26260192780907) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 666161391 + ... + 666200809.

Almost surely, 2^{26260192780900} is an apocalyptic number.

26260192780900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26260192780900 is the 5124470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26260192780900

26260192780900 is an abundant number, since it is smaller than the sum of its proper divisors (35446610231591).

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

26260192780900 is an frugal number, since it uses more digits than its factorization.

26260192780900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78878 (or 39439 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 26260192780900 in words is "twenty-six trillion, two hundred sixty billion, one hundred ninety-two million, seven hundred eighty thousand, nine hundred".