25884948544 has 315 divisors, whose sum is σ = 68762442993. Its totient is φ = 9637834752.

The previous prime is 25884948541. The next prime is 25884948553. The reversal of 25884948544 is 44584948852.

It is a happy number.

The square root of 25884948544 is 160888.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 23629838400 + 2255110144 = 153720^2 + 47488^2 .

It is a super-2 number, since 2×25884948544² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25884948541) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1522644024 + ... + 1522644040.

Almost surely, 2^25884948544 is an apocalyptic number.

25884948544 is the 160888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25884948544

25884948544 is an abundant number, since it is smaller than the sum of its proper divisors (42877494449).

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

25884948544 is an frugal number, since it uses more digits than its factorization.

25884948544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 39 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 61.

The spelling of 25884948544 in words is "twenty-five billion, eight hundred eighty-four million, nine hundred forty-eight thousand, five hundred forty-four".