26072560900 has 81 divisors (see below), whose sum is σ = 57673806687. Its totient is φ = 10230739200.

The previous prime is 26072560889. The next prime is 26072560903. The reversal of 26072560900 is 906527062.

The square root of 26072560900 is 161470.

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 388011204 + 25684549696 = 19698^2 + 160264^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 26072560900.

It is not an unprimeable number, because it can be changed into a prime (26072560903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 108184780 + ... + 108185020.

Almost surely, 2^26072560900 is an apocalyptic number.

26072560900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26072560900 is the 161470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26072560900

26072560900 is an abundant number, since it is smaller than the sum of its proper divisors (31601245787).

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

26072560900 is an equidigital number, since it uses as much as digits as its factorization.

26072560900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 26072560900 in words is "twenty-six billion, seventy-two million, five hundred sixty thousand, nine hundred".