25916268672 has 192 divisors, whose sum is σ = 85884701760. Its totient is φ = 7347824640.

The previous prime is 25916268671. The next prime is 25916268701. The reversal of 25916268672 is 27686261952.

25916268672 is a `hidden beast` number, since 2 + 5 + 9 + 1 + 626 + 8 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (25916268671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1044118 + ... + 1068650.

It is an arithmetic number, because the mean of its divisors is an integer number (447316155).

Almost surely, 2^25916268672 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 25916268672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42942350880).

25916268672 is an abundant number, since it is smaller than the sum of its proper divisors (59968433088).

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

25916268672 is a wasteful number, since it uses less digits than its factorization.

25916268672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24691 (or 24676 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 25916268672 in words is "twenty-five billion, nine hundred sixteen million, two hundred sixty-eight thousand, six hundred seventy-two".