25610869213440 has 576 divisors, whose sum is σ = 94718897731584. Its totient is φ = 5776663117824.

The previous prime is 25610869213403. The next prime is 25610869213451. The reversal of 25610869213440 is 4431296801652.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 904739767 + ... + 904768073.

It is an arithmetic number, because the mean of its divisors is an integer number (164442530784).

Almost surely, 2^{25610869213440} is an apocalyptic number.

25610869213440 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 25610869213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47359448865792).

25610869213440 is an abundant number, since it is smaller than the sum of its proper divisors (69108028518144).

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

25610869213440 is a wasteful number, since it uses less digits than its factorization.

25610869213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28782 (or 28768 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 25610869213440 in words is "twenty-five trillion, six hundred ten billion, eight hundred sixty-nine million, two hundred thirteen thousand, four hundred forty".