25467966307872 has 144 divisors (see below), whose sum is σ = 79017019518528. Its totient is φ = 7716740912640.

The previous prime is 25467966307853. The next prime is 25467966307913. The reversal of 25467966307872 is 27870366976452.

25467966307872 is a `hidden beast` number, since 2 + 5 + 467 + 9 + 66 + 30 + 7 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 25467966307872.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29554018 + ... + 30403550.

It is an arithmetic number, because the mean of its divisors is an integer number (548729302212).

Almost surely, 2^{25467966307872} is an apocalyptic number.

25467966307872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25467966307872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39508509759264).

25467966307872 is an abundant number, since it is smaller than the sum of its proper divisors (53549053210656).

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

25467966307872 is a wasteful number, since it uses less digits than its factorization.

25467966307872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859023 (or 859012 counting only the distinct ones).

The product of its (nonzero) digits is 1280240640, while the sum is 72.

The spelling of 25467966307872 in words is "twenty-five trillion, four hundred sixty-seven billion, nine hundred sixty-six million, three hundred seven thousand, eight hundred seventy-two".