25820173840032 has 1008 divisors, whose sum is σ = 95330373925248. Its totient is φ = 6797383557120.

The previous prime is 25820173840031. The next prime is 25820173840039. The reversal of 25820173840032 is 23004837102852.

25820173840032 is a `hidden beast` number, since 2 + 5 + 8 + 201 + 7 + 3 + 8 + 400 + 32 = 666.

It is a super-2 number, since 2×25820173840032² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25820173840032.

It is not an unprimeable number, because it can be changed into a prime (25820173840031) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 737217273 + ... + 737252295.

It is an arithmetic number, because the mean of its divisors is an integer number (94573783656).

Almost surely, 2^{25820173840032} is an apocalyptic number.

25820173840032 is a gapful number since it is divisible by the number (22) 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 25820173840032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47665186962624).

25820173840032 is an abundant number, since it is smaller than the sum of its proper divisors (69510200085216).

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

25820173840032 is a wasteful number, since it uses less digits than its factorization.

25820173840032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35105 (or 35069 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 25820173840032 in words is "twenty-five trillion, eight hundred twenty billion, one hundred seventy-three million, eight hundred forty thousand, thirty-two".