25909947871328 has 192 divisors, whose sum is σ = 55465917696000. Its totient is φ = 11875106580480.

The previous prime is 25909947871279. The next prime is 25909947871331. The reversal of 25909947871328 is 82317874990952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 892785458 + ... + 892814478.

It is an arithmetic number, because the mean of its divisors is an integer number (288884988000).

Almost surely, 2^{25909947871328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25909947871328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27732958848000).

25909947871328 is an abundant number, since it is smaller than the sum of its proper divisors (29555969824672).

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

25909947871328 is a wasteful number, since it uses less digits than its factorization.

25909947871328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29453 (or 29445 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 74.

The spelling of 25909947871328 in words is "twenty-five trillion, nine hundred nine billion, nine hundred forty-seven million, eight hundred seventy-one thousand, three hundred twenty-eight".