25825898013000 has 512 divisors, whose sum is σ = 84668979732480. Its totient is φ = 6541476480000.

The previous prime is 25825898012923. The next prime is 25825898013031. The reversal of 25825898013000 is 31089852852.

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 127 ways as a sum of consecutive naturals, for example, 8577181495 + ... + 8577184505.

It is an arithmetic number, because the mean of its divisors is an integer number (165369101040).

Almost surely, 2^{25825898013000} is an apocalyptic number.

25825898013000 is a gapful number since it is divisible by the number (20) 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 25825898013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42334489866240).

25825898013000 is an abundant number, since it is smaller than the sum of its proper divisors (58843081719480).

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

25825898013000 is a wasteful number, since it uses less digits than its factorization.

25825898013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 51.

The spelling of 25825898013000 in words is "twenty-five trillion, eight hundred twenty-five billion, eight hundred ninety-eight million, thirteen thousand".