25628261166144 has 504 divisors, whose sum is σ = 90984399297792. Its totient is φ = 6753390059520.

The previous prime is 25628261166139. The next prime is 25628261166181. The reversal of 25628261166144 is 44166116282652.

It is a happy number.

25628261166144 is a `hidden beast` number, since 2 + 5 + 6 + 2 + 8 + 2 + 6 + 1 + 16 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 838797972 + ... + 838828524.

Almost surely, 2^{25628261166144} is an apocalyptic number.

25628261166144 is a gapful number since it is divisible by the number (24) 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 25628261166144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45492199648896).

25628261166144 is an abundant number, since it is smaller than the sum of its proper divisors (65356138131648).

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

25628261166144 is a wasteful number, since it uses less digits than its factorization.

25628261166144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31835 (or 31809 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 25628261166144 in words is "twenty-five trillion, six hundred twenty-eight billion, two hundred sixty-one million, one hundred sixty-six thousand, one hundred forty-four".