26205207120 has 120 divisors (see below), whose sum is σ = 89211558696. Its totient is φ = 6892314624.

The previous prime is 26205207109. The next prime is 26205207137. The reversal of 26205207120 is 2170250262.

26205207120 is a `hidden beast` number, since 2 + 620 + 5 + 20 + 7 + 12 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7847125056 + 18358082064 = 88584^2 + 135492^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196729 + ... + 301848.

Almost surely, 2^26205207120 is an apocalyptic number.

26205207120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26205207120 is an abundant number, since it is smaller than the sum of its proper divisors (63006351576).

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

26205207120 is a wasteful number, since it uses less digits than its factorization.

26205207120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498669 (or 498660 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 26205207120 its reverse (2170250262), we get a palindrome (28375457382).

The spelling of 26205207120 in words is "twenty-six billion, two hundred five million, two hundred seven thousand, one hundred twenty".