25532352080352 has 288 divisors, whose sum is σ = 78988797197856. Its totient is φ = 7776179712000.

The previous prime is 25532352080327. The next prime is 25532352080353. The reversal of 25532352080352 is 25308025323552.

25532352080352 is a `hidden beast` number, since 2 + 5 + 53 + 23 + 520 + 8 + 0 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 25532352080298 and 25532352080307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25532352080353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1864621218 + ... + 1864634910.

It is an arithmetic number, because the mean of its divisors is an integer number (274266656937).

Almost surely, 2^{25532352080352} 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 25532352080352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39494398598928).

25532352080352 is an abundant number, since it is smaller than the sum of its proper divisors (53456445117504).

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

25532352080352 is a wasteful number, since it uses less digits than its factorization.

25532352080352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18754 (or 18743 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 25532352080352 in words is "twenty-five trillion, five hundred thirty-two billion, three hundred fifty-two million, eighty thousand, three hundred fifty-two".