25475051000448 has 1536 divisors, whose sum is σ = 92062968076800. Its totient is φ = 6787977707520.

The previous prime is 25475051000389. The next prime is 25475051000453. The reversal of 25475051000448 is 84400015057452.

25475051000448 is a `hidden beast` number, since 2 + 5 + 47 + 50 + 510 + 0 + 0 + 4 + 48 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 99124711936 + ... + 99124712192.

It is an arithmetic number, because the mean of its divisors is an integer number (59936828175).

Almost surely, 2^{25475051000448} is an apocalyptic number.

25475051000448 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 25475051000448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46031484038400).

25475051000448 is an abundant number, since it is smaller than the sum of its proper divisors (66587917076352).

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

25475051000448 is a wasteful number, since it uses less digits than its factorization.

25475051000448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 25475051000448 in words is "twenty-five trillion, four hundred seventy-five billion, fifty-one million, four hundred forty-eight", and thus it is an aban number.