25603340448 has 288 divisors, whose sum is σ = 81098454528. Its totient is φ = 7044710400.

The previous prime is 25603340393. The next prime is 25603340509. The reversal of 25603340448 is 84404330652.

It is a super-3 number, since 3×25603340448³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49142428 + ... + 49142948.

It is an arithmetic number, because the mean of its divisors is an integer number (281591856).

Almost surely, 2^25603340448 is an apocalyptic number.

25603340448 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 25603340448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40549227264).

25603340448 is an abundant number, since it is smaller than the sum of its proper divisors (55495114080).

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

25603340448 is a wasteful number, since it uses less digits than its factorization.

25603340448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 25603340448 in words is "twenty-five billion, six hundred three million, three hundred forty thousand, four hundred forty-eight".