25967997664 has 192 divisors, whose sum is σ = 62047641600. Its totient is φ = 10682219520.

The previous prime is 25967997637. The next prime is 25967997691. The reversal of 25967997664 is 46679976952.

It is an interprime number because it is at equal distance from previous prime (25967997637) and next prime (25967997691).

It is a junction number, because it is equal to n+sod(n) for n = 25967997593 and 25967997602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56822524 + ... + 56822980.

It is an arithmetic number, because the mean of its divisors is an integer number (323164800).

Almost surely, 2^25967997664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25967997664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31023820800).

25967997664 is an abundant number, since it is smaller than the sum of its proper divisors (36079643936).

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

25967997664 is a wasteful number, since it uses less digits than its factorization.

25967997664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 664 counting only the distinct ones).

The product of its digits is 308629440, while the sum is 70.

The spelling of 25967997664 in words is "twenty-five billion, nine hundred sixty-seven million, nine hundred ninety-seven thousand, six hundred sixty-four".