25260678144 has 616 divisors, whose sum is σ = 86452015440. Its totient is φ = 7309688832.

The previous prime is 25260678137. The next prime is 25260678161. The reversal of 25260678144 is 44187606252.

25260678144 is a `hidden beast` number, since 2 + 526 + 0 + 6 + 7 + 81 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 25260678144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 184384444 + ... + 184384580.

Almost surely, 2^25260678144 is an apocalyptic number.

25260678144 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 25260678144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43226007720).

25260678144 is an abundant number, since it is smaller than the sum of its proper divisors (61191337296).

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

25260678144 is a wasteful number, since it uses less digits than its factorization.

25260678144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 25260678144 in words is "twenty-five billion, two hundred sixty million, six hundred seventy-eight thousand, one hundred forty-four".