25205086368 has 144 divisors (see below), whose sum is σ = 89363566656. Its totient is φ = 6546769920.

The previous prime is 25205086349. The next prime is 25205086409. The reversal of 25205086368 is 86368050252.

25205086368 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 5 + 0 + 8 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 546121 + ... + 590472.

It is an arithmetic number, because the mean of its divisors is an integer number (620580324).

Almost surely, 2^25205086368 is an apocalyptic number.

25205086368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

25205086368 is an abundant number, since it is smaller than the sum of its proper divisors (64158480288).

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

25205086368 is a wasteful number, since it uses less digits than its factorization.

25205086368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136627 (or 1136616 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 25205086368 in words is "twenty-five billion, two hundred five million, eighty-six thousand, three hundred sixty-eight".