25395432050688 has 1664 divisors, whose sum is σ = 85929791569920. Its totient is φ = 6518168616960.

The previous prime is 25395432050657. The next prime is 25395432050707. The reversal of 25395432050688 is 88605023459352.

It is a happy number.

It is a super-2 number, since 2×25395432050688² (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, 379036299231 + ... + 379036299297.

Almost surely, 2^{25395432050688} is an apocalyptic number.

25395432050688 is a gapful number since it is divisible by the number (28) 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 25395432050688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42964895784960).

25395432050688 is an abundant number, since it is smaller than the sum of its proper divisors (60534359519232).

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

25395432050688 is a wasteful number, since it uses less digits than its factorization.

25395432050688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 60.

The spelling of 25395432050688 in words is "twenty-five trillion, three hundred ninety-five billion, four hundred thirty-two million, fifty thousand, six hundred eighty-eight".