25970175348480 has 2304 divisors, whose sum is σ = 111027165419520. Its totient is φ = 5675758387200.

The previous prime is 25970175348431. The next prime is 25970175348503. The reversal of 25970175348480 is 8484357107952.

25970175348480 is a `hidden beast` number, since 2 + 5 + 9 + 7 + 0 + 1 + 75 + 3 + 484 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16021082070 + ... + 16021083690.

It is an arithmetic number, because the mean of its divisors is an integer number (48188873880).

Almost surely, 2^{25970175348480} is an apocalyptic number.

25970175348480 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 25970175348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55513582709760).

25970175348480 is an abundant number, since it is smaller than the sum of its proper divisors (85056990071040).

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

25970175348480 is a wasteful number, since it uses less digits than its factorization.

25970175348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

It can be divided in two parts, 2597017 and 5348480, that added together give a palindrome (7945497).

The spelling of 25970175348480 in words is "twenty-five trillion, nine hundred seventy billion, one hundred seventy-five million, three hundred forty-eight thousand, four hundred eighty".