25345272966960 has 480 divisors, whose sum is σ = 81716120690688. Its totient is φ = 6497688637440.

The previous prime is 25345272966943. The next prime is 25345272966971. The reversal of 25345272966960 is 6966927254352.

25345272966960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×25345272966960² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 25345272966891 and 25345272966900.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7382833404 + ... + 7382836836.

Almost surely, 2^{25345272966960} is an apocalyptic number.

25345272966960 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 25345272966960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40858060345344).

25345272966960 is an abundant number, since it is smaller than the sum of its proper divisors (56370847723728).

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

25345272966960 is a wasteful number, since it uses less digits than its factorization.

25345272966960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3793 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 66.

The spelling of 25345272966960 in words is "twenty-five trillion, three hundred forty-five billion, two hundred seventy-two million, nine hundred sixty-six thousand, nine hundred sixty".