26205134400 has 567 divisors, whose sum is σ = 99703300593. Its totient is φ = 6527001600.

The previous prime is 26205134383. The next prime is 26205134401. The reversal of 26205134400 is 443150262.

The square root of 26205134400 is 161880.

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

26205134400 is a `hidden beast` number, since 2 + 6 + 205 + 13 + 440 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9433848384 + 16771286016 = 97128^2 + 129504^2 .

It is not an unprimeable number, because it can be changed into a prime (26205134401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 369086365 + ... + 369086435.

Almost surely, 2^26205134400 is an apocalyptic number.

26205134400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26205134400 is the 161880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26205134400

26205134400 is an abundant number, since it is smaller than the sum of its proper divisors (73498166193).

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

26205134400 is a wasteful number, since it uses less digits than its factorization.

26205134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 26205134400 its reverse (443150262), we get a palindrome (26648284662).

The spelling of 26205134400 in words is "twenty-six billion, two hundred five million, one hundred thirty-four thousand, four hundred".