25749808448 has 112 divisors (see below), whose sum is σ = 63647848320. Its totient is φ = 10063816704.

The previous prime is 25749808417. The next prime is 25749808451. The reversal of 25749808448 is 84480894752.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456758 + ... + 510026.

It is an arithmetic number, because the mean of its divisors is an integer number (568284360).

Almost surely, 2^25749808448 is an apocalyptic number.

25749808448 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 25749808448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31823924160).

25749808448 is an abundant number, since it is smaller than the sum of its proper divisors (37898039872).

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

25749808448 is a wasteful number, since it uses less digits than its factorization.

25749808448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53384 (or 53374 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 59.

The spelling of 25749808448 in words is "twenty-five billion, seven hundred forty-nine million, eight hundred eight thousand, four hundred forty-eight".