25461738462960 has 240 divisors, whose sum is σ = 88703452053216. Its totient is φ = 6787695366144.

The previous prime is 25461738462943. The next prime is 25461738463019. The reversal of 25461738462960 is 6926483716452.

25461738462960 is a `hidden beast` number, since 2 + 5 + 4 + 617 + 3 + 8 + 4 + 6 + 2 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63115012 + ... + 63517148.

It is a 1-persistent number, because it is pandigital, but 2⋅25461738462960 = 50923476925920 is not.

Almost surely, 2^{25461738462960} is an apocalyptic number.

25461738462960 is a gapful number since it is divisible by the number (20) 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 25461738462960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44351726026608).

25461738462960 is an abundant number, since it is smaller than the sum of its proper divisors (63241713590256).

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

25461738462960 is a wasteful number, since it uses less digits than its factorization.

25461738462960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405422 (or 405404 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 25461738462960 in words is "twenty-five trillion, four hundred sixty-one billion, seven hundred thirty-eight million, four hundred sixty-two thousand, nine hundred sixty".