25661344534144 has 128 divisors (see below), whose sum is σ = 56123745730560. Its totient is φ = 11590330752000.

The previous prime is 25661344534087. The next prime is 25661344534171. The reversal of 25661344534144 is 44143544316652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 25661344534091 and 25661344534100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244941037 + ... + 245045779.

It is an arithmetic number, because the mean of its divisors is an integer number (438466763520).

Almost surely, 2^{25661344534144} 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 25661344534144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28061872865280).

25661344534144 is an abundant number, since it is smaller than the sum of its proper divisors (30462401196416).

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

25661344534144 is a wasteful number, since it uses less digits than its factorization.

25661344534144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105870 (or 105858 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 52.

The spelling of 25661344534144 in words is "twenty-five trillion, six hundred sixty-one billion, three hundred forty-four million, five hundred thirty-four thousand, one hundred forty-four".