25865377316401 has 64 divisors (see below), whose sum is σ = 30557605478400. Its totient is φ = 21434504103936.

The previous prime is 25865377316393. The next prime is 25865377316431. The reversal of 25865377316401 is 10461377356852.

It is not a de Polignac number, because 25865377316401 - 2³ = 25865377316393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25865377316431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9477967605 + ... + 9477970333.

It is an arithmetic number, because the mean of its divisors is an integer number (477462585600).

Almost surely, 2^{25865377316401} is an apocalyptic number.

It is an amenable number.

25865377316401 is a deficient number, since it is larger than the sum of its proper divisors (4692228161999).

25865377316401 is a wasteful number, since it uses less digits than its factorization.

25865377316401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758.

The product of its (nonzero) digits is 25401600, while the sum is 58.

The spelling of 25865377316401 in words is "twenty-five trillion, eight hundred sixty-five billion, three hundred seventy-seven million, three hundred sixteen thousand, four hundred one".