26400365325 has 36 divisors (see below), whose sum is σ = 48916551060. Its totient is φ = 13594667520.

The previous prime is 26400365293. The next prime is 26400365357. The reversal of 26400365325 is 52356300462.

26400365325 is a `hidden beast` number, since 2 + 640 + 0 + 3 + 6 + 5 + 3 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (26400365293) and next prime (26400365357).

It can be written as a sum of positive squares in 6 ways, for example, as 425885769 + 25974479556 = 20637^2 + 161166^2 .

It is not a de Polignac number, because 26400365325 - 2⁵ = 26400365293 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 26400365325.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2016492 + ... + 2029541.

It is an arithmetic number, because the mean of its divisors is an integer number (1358793085).

Almost surely, 2^26400365325 is an apocalyptic number.

26400365325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

26400365325 is a deficient number, since it is larger than the sum of its proper divisors (22516185735).

26400365325 is a wasteful number, since it uses less digits than its factorization.

26400365325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4046078 (or 4046070 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 26400365325 its reverse (52356300462), we get a palindrome (78756665787).

The spelling of 26400365325 in words is "twenty-six billion, four hundred million, three hundred sixty-five thousand, three hundred twenty-five".