25730936448 has 288 divisors, whose sum is σ = 82211820480. Its totient is φ = 7109544960.

The previous prime is 25730936423. The next prime is 25730936467. The reversal of 25730936448 is 84463903752.

It is a self number, because there is not a number n which added to its sum of digits gives 25730936448.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18081465 + ... + 18082887.

It is an arithmetic number, because the mean of its divisors is an integer number (285457710).

Almost surely, 2^25730936448 is an apocalyptic number.

25730936448 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 25730936448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41105910240).

25730936448 is an abundant number, since it is smaller than the sum of its proper divisors (56480884032).

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

25730936448 is a wasteful number, since it uses less digits than its factorization.

25730936448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 25730936448 in words is "twenty-five billion, seven hundred thirty million, nine hundred thirty-six thousand, four hundred forty-eight".