25761999967 has 16 divisors (see below), whose sum is σ = 29017257984. Its totient is φ = 22659300000.

The previous prime is 25761999947. The next prime is 25762000037. The reversal of 25761999967 is 76999916752.

It is a cyclic number.

It is not a de Polignac number, because 25761999967 - 2¹⁵ = 25761967199 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 25761999896 and 25761999905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25761999947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2894398 + ... + 2903284.

It is an arithmetic number, because the mean of its divisors is an integer number (1813578624).

Almost surely, 2^25761999967 is an apocalyptic number.

25761999967 is a deficient number, since it is larger than the sum of its proper divisors (3255258017).

25761999967 is a wasteful number, since it uses less digits than its factorization.

25761999967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17430.

The product of its digits is 115736040, while the sum is 70.

The spelling of 25761999967 in words is "twenty-five billion, seven hundred sixty-one million, nine hundred ninety-nine thousand, nine hundred sixty-seven".