26709364900 has 81 divisors (see below), whose sum is σ = 59171947779. Its totient is φ = 10464749760.

The previous prime is 26709364867. The next prime is 26709364943. The reversal of 26709364900 is 946390762.

The square root of 26709364900 is 163430.

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 6120558756 + 20588806144 = 78234^2 + 143488^2 .

It is a super-2 number, since 2×26709364900² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 96423562 + ... + 96423838.

Almost surely, 2^26709364900 is an apocalyptic number.

26709364900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26709364900 is the 163430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26709364900

26709364900 is an abundant number, since it is smaller than the sum of its proper divisors (32462582879).

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

26709364900 is an equidigital number, since it uses as much as digits as its factorization.

26709364900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 46.

The spelling of 26709364900 in words is "twenty-six billion, seven hundred nine million, three hundred sixty-four thousand, nine hundred".