25945233146160 has 320 divisors, whose sum is σ = 85903821803520. Its totient is φ = 6458655329280.

The previous prime is 25945233146101. The next prime is 25945233146167. The reversal of 25945233146160 is 6164133254952.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (25945233146167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 604438459 + ... + 604481381.

It is an arithmetic number, because the mean of its divisors is an integer number (268449443136).

Almost surely, 2^{25945233146160} is an apocalyptic number.

25945233146160 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 25945233146160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42951910901760).

25945233146160 is an abundant number, since it is smaller than the sum of its proper divisors (59958588657360).

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

25945233146160 is a wasteful number, since it uses less digits than its factorization.

25945233146160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44896 (or 44890 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The spelling of 25945233146160 in words is "twenty-five trillion, nine hundred forty-five billion, two hundred thirty-three million, one hundred forty-six thousand, one hundred sixty".