25841205504 has 243 divisors, whose sum is σ = 79550914807. Its totient is φ = 8065892352.

The previous prime is 25841205499. The next prime is 25841205527. The reversal of 25841205504 is 40550214852.

The square root of 25841205504 is 160752.

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

25841205504 is a `hidden beast` number, since 2 + 5 + 84 + 1 + 20 + 550 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16808603904 + 9032601600 = 129648^2 + 95040^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 131173534 + ... + 131173730.

Almost surely, 2^25841205504 is an apocalyptic number.

25841205504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

25841205504 is the 160752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25841205504

25841205504 is an abundant number, since it is smaller than the sum of its proper divisors (53709709303).

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

25841205504 is an equidigital number, since it uses as much as digits as its factorization.

25841205504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Multiplying 25841205504 by its sum of digits (36), we get a square (930283398144 = 964512²).

25841205504 divided by its sum of digits (36) gives a square (717811264 = 26792²).

The spelling of 25841205504 in words is "twenty-five billion, eight hundred forty-one million, two hundred five thousand, five hundred four".