25584112848 has 120 divisors (see below), whose sum is σ = 77644807200. Its totient is φ = 7237305600.

The previous prime is 25584112843. The next prime is 25584112849. The reversal of 25584112848 is 84821148552.

It is a super-2 number, since 2×25584112848² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 25584112797 and 25584112806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25584112843) 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 23 ways as a sum of consecutive naturals, for example, 183703 + ... + 291401.

It is an arithmetic number, because the mean of its divisors is an integer number (647040060).

Almost surely, 2^25584112848 is an apocalyptic number.

25584112848 is a gapful number since it is divisible by the number (28) 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 25584112848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38822403600).

25584112848 is an abundant number, since it is smaller than the sum of its proper divisors (52060694352).

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

25584112848 is a wasteful number, since it uses less digits than its factorization.

25584112848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107825 (or 107812 counting only the distinct ones).

The product of its digits is 819200, while the sum is 48.

The spelling of 25584112848 in words is "twenty-five billion, five hundred eighty-four million, one hundred twelve thousand, eight hundred forty-eight".