25691138935128 has 320 divisors, whose sum is σ = 76113601788000. Its totient is φ = 8029352157696.

The previous prime is 25691138935127. The next prime is 25691138935199. The reversal of 25691138935128 is 82153983119652.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

25691138935128 is a `hidden beast` number, since 2 + 569 + 1 + 1 + 38 + 9 + 35 + 1 + 2 + 8 = 666.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 25691138935128 = 3686³ + 29488³ = 16587³ + 27645³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25691138935127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 264857102376 + ... + 264857102472.

Almost surely, 2^{25691138935128} 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 25691138935128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38056800894000).

25691138935128 is an abundant number, since it is smaller than the sum of its proper divisors (50422462852872).

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

25691138935128 is an frugal number, since it uses more digits than its factorization.

25691138935128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 121 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 63.

The spelling of 25691138935128 in words is "twenty-five trillion, six hundred ninety-one billion, one hundred thirty-eight million, nine hundred thirty-five thousand, one hundred twenty-eight".