25258327248 has 320 divisors, whose sum is σ = 83401519104. Its totient is φ = 6397440000.

The previous prime is 25258327207. The next prime is 25258327249. The reversal of 25258327248 is 84272385252.

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 = 25258327197 and 25258327206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25258327249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26503540 + ... + 26504492.

Almost surely, 2^25258327248 is an apocalyptic number.

25258327248 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 25258327248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41700759552).

25258327248 is an abundant number, since it is smaller than the sum of its proper divisors (58143191856).

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

25258327248 is a wasteful number, since it uses less digits than its factorization.

25258327248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1148 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 48.

The spelling of 25258327248 in words is "twenty-five billion, two hundred fifty-eight million, three hundred twenty-seven thousand, two hundred forty-eight".