25969942656 has 512 divisors, whose sum is σ = 91937088000. Its totient is φ = 7148445696.

The previous prime is 25969942651. The next prime is 25969942673. The reversal of 25969942656 is 65624996952.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 25969942593 and 25969942602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25969942651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56826780 + ... + 56827236.

It is an arithmetic number, because the mean of its divisors is an integer number (179564625).

Almost surely, 2^25969942656 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 25969942656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45968544000).

25969942656 is an abundant number, since it is smaller than the sum of its proper divisors (65967145344).

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

25969942656 is an frugal number, since it uses more digits than its factorization.

25969942656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 498 counting only the distinct ones).

The product of its digits is 62985600, while the sum is 63.

The spelling of 25969942656 in words is "twenty-five billion, nine hundred sixty-nine million, nine hundred forty-two thousand, six hundred fifty-six".