25664601105 has 288 divisors, whose sum is σ = 55497312000. Its totient is φ = 10860595200.

The previous prime is 25664601023. The next prime is 25664601107. The reversal of 25664601105 is 50110646652.

25664601105 is a `hidden beast` number, since 2 + 5 + 6 + 646 + 0 + 1 + 1 + 0 + 5 = 666.

It is not a de Polignac number, because 25664601105 - 2¹¹ = 25664599057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 25664601105.

It is not an unprimeable number, because it can be changed into a prime (25664601107) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 172245571 + ... + 172245719.

It is an arithmetic number, because the mean of its divisors is an integer number (192699000).

Almost surely, 2^25664601105 is an apocalyptic number.

It is an amenable number.

25664601105 is an abundant number, since it is smaller than the sum of its proper divisors (29832710895).

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

25664601105 is a wasteful number, since it uses less digits than its factorization.

25664601105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 25664601105 in words is "twenty-five billion, six hundred sixty-four million, six hundred one thousand, one hundred five".