25488576960 has 896 divisors, whose sum is σ = 106743398400. Its totient is φ = 5102899200.

The previous prime is 25488576947. The next prime is 25488576979. The reversal of 25488576960 is 6967588452.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 25488576894 and 25488576903.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 112284367 + ... + 112284593.

Almost surely, 2^25488576960 is an apocalyptic number.

25488576960 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 25488576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53371699200).

25488576960 is an abundant number, since it is smaller than the sum of its proper divisors (81254821440).

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

25488576960 is a wasteful number, since it uses less digits than its factorization.

25488576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 25488576960 in words is "twenty-five billion, four hundred eighty-eight million, five hundred seventy-six thousand, nine hundred sixty".