25071119256960 has 768 divisors, whose sum is σ = 103332756888000. Its totient is φ = 5728194920448.

The previous prime is 25071119256913. The next prime is 25071119256961. The reversal of 25071119256960 is 6965291117052.

25071119256960 is a `hidden beast` number, since 2 + 5 + 0 + 7 + 1 + 1 + 19 + 2 + 569 + 60 = 666.

It is a super-2 number, since 2×25071119256960² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 25071119256897 and 25071119256906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25071119256961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2869529712 + ... + 2869538448.

Almost surely, 2^{25071119256960} is an apocalyptic number.

25071119256960 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 25071119256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51666378444000).

25071119256960 is an abundant number, since it is smaller than the sum of its proper divisors (78261637631040).

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

25071119256960 is a wasteful number, since it uses less digits than its factorization.

25071119256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12168 (or 12143 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 25071119256960 in words is "twenty-five trillion, seventy-one billion, one hundred nineteen million, two hundred fifty-six thousand, nine hundred sixty".