25848676560 has 320 divisors, whose sum is σ = 94383244800. Its totient is φ = 5728444416.

The previous prime is 25848676547. The next prime is 25848676571. The reversal of 25848676560 is 6567684852.

It is a super-3 number, since 3×25848676560³ (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25848676560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24179706 + ... + 24180774.

It is an arithmetic number, because the mean of its divisors is an integer number (294947640).

Almost surely, 2^25848676560 is an apocalyptic number.

25848676560 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 25848676560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47191622400).

25848676560 is an abundant number, since it is smaller than the sum of its proper divisors (68534568240).

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

25848676560 is a wasteful number, since it uses less digits than its factorization.

25848676560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 25848676560 in words is "twenty-five billion, eight hundred forty-eight million, six hundred seventy-six thousand, five hundred sixty".