26494072900 has 81 divisors (see below), whose sum is σ = 59077395237. Its totient is φ = 10313107200.

The previous prime is 26494072879. The next prime is 26494072907. The reversal of 26494072900 is 927049462.

The square root of 26494072900 is 162770.

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

It can be written as a sum of positive squares in 13 ways, for example, as 24833347396 + 1660725504 = 157586^2 + 40752^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26494072907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 66735502 + ... + 66735898.

Almost surely, 2^26494072900 is an apocalyptic number.

26494072900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26494072900 is the 162770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26494072900

26494072900 is an abundant number, since it is smaller than the sum of its proper divisors (32583322337).

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

26494072900 is an equidigital number, since it uses as much as digits as its factorization.

26494072900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 26494072900 in words is "twenty-six billion, four hundred ninety-four million, seventy-two thousand, nine hundred".