25638218496 has 576 divisors, whose sum is σ = 87853409280. Its totient is φ = 7390310400.

The previous prime is 25638218491. The next prime is 25638218513. The reversal of 25638218496 is 69481283652.

25638218496 is a `hidden beast` number, since 2 + 5 + 63 + 82 + 18 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (25638218491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141647526 + ... + 141647706.

It is an arithmetic number, because the mean of its divisors is an integer number (152523280).

Almost surely, 2^25638218496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25638218496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43926704640).

25638218496 is an abundant number, since it is smaller than the sum of its proper divisors (62215190784).

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

25638218496 is an equidigital number, since it uses as much as digits as its factorization.

25638218496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 220 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 25638218496 in words is "twenty-five billion, six hundred thirty-eight million, two hundred eighteen thousand, four hundred ninety-six".