25384480627968 has 720 divisors, whose sum is σ = 95916560530560. Its totient is φ = 6485258649600.

The previous prime is 25384480627937. The next prime is 25384480628011. The reversal of 25384480627968 is 86972608448352.

25384480627968 is a `hidden beast` number, since 2 + 5 + 3 + 84 + 480 + 6 + 2 + 7 + 9 + 68 = 666.

It is a super-4 number, since 4×25384480627968⁴ (a number of 55 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 25384480627896 and 25384480627905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 97266678 + ... + 97527306.

Almost surely, 2^{25384480627968} is an apocalyptic number.

25384480627968 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 25384480627968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47958280265280).

25384480627968 is an abundant number, since it is smaller than the sum of its proper divisors (70532079902592).

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

25384480627968 is a wasteful number, since it uses less digits than its factorization.

25384480627968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260736 (or 260713 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 25384480627968 in words is "twenty-five trillion, three hundred eighty-four billion, four hundred eighty million, six hundred twenty-seven thousand, nine hundred sixty-eight".