25507438245744 has 640 divisors, whose sum is σ = 86698450944000. Its totient is φ = 6274391445504.

The previous prime is 25507438245719. The next prime is 25507438245829. The reversal of 25507438245744 is 44754283470552.

It is a super-2 number, since 2×25507438245744² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2353730694 + ... + 2353741530.

It is an arithmetic number, because the mean of its divisors is an integer number (135466329600).

Almost surely, 2^{25507438245744} is an apocalyptic number.

25507438245744 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 25507438245744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43349225472000).

25507438245744 is an abundant number, since it is smaller than the sum of its proper divisors (61191012698256).

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

25507438245744 is a wasteful number, since it uses less digits than its factorization.

25507438245744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11325 (or 11319 counting only the distinct ones).

The product of its (nonzero) digits is 150528000, while the sum is 60.

The spelling of 25507438245744 in words is "twenty-five trillion, five hundred seven billion, four hundred thirty-eight million, two hundred forty-five thousand, seven hundred forty-four".