25775260008960 has 960 divisors, whose sum is σ = 103832496294912. Its totient is φ = 5339271168000.

The previous prime is 25775260008941. The next prime is 25775260008977. The reversal of 25775260008960 is 6980006257752.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-4 number, since 4×25775260008960⁴ (a number of 55 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25775260008960.

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, 2153135775 + ... + 2153147745.

Almost surely, 2^{25775260008960} is an apocalyptic number.

25775260008960 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 25775260008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51916248147456).

25775260008960 is an abundant number, since it is smaller than the sum of its proper divisors (78057236285952).

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

25775260008960 is a wasteful number, since it uses less digits than its factorization.

25775260008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12357 (or 12330 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 25775260008960 in words is "twenty-five trillion, seven hundred seventy-five billion, two hundred sixty million, eight thousand, nine hundred sixty".