25745796805248 has 256 divisors, whose sum is σ = 81905949081600. Its totient is φ = 7914520793088.

The previous prime is 25745796805229. The next prime is 25745796805343. The reversal of 25745796805248 is 84250869754752.

25745796805248 is a `hidden beast` number, since 2 + 5 + 7 + 4 + 5 + 7 + 96 + 8 + 0 + 524 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48844161 + ... + 49368447.

It is an arithmetic number, because the mean of its divisors is an integer number (319945113600).

Almost surely, 2^{25745796805248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25745796805248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40952974540800).

25745796805248 is an abundant number, since it is smaller than the sum of its proper divisors (56160152276352).

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

25745796805248 is a wasteful number, since it uses less digits than its factorization.

25745796805248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525416 (or 525398 counting only the distinct ones).

The product of its (nonzero) digits is 1354752000, while the sum is 72.

The spelling of 25745796805248 in words is "twenty-five trillion, seven hundred forty-five billion, seven hundred ninety-six million, eight hundred five thousand, two hundred forty-eight".