25242544099968 has 384 divisors, whose sum is σ = 75060901877760. Its totient is φ = 7504976793600.

The previous prime is 25242544099931. The next prime is 25242544099987. The reversal of 25242544099968 is 86999044524252.

It is a tau number, because it is divible by the number of its divisors (384).

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, 1374033823 + ... + 1374052193.

It is an arithmetic number, because the mean of its divisors is an integer number (195471098640).

Almost surely, 2^{25242544099968} 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 25242544099968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37530450938880).

25242544099968 is an abundant number, since it is smaller than the sum of its proper divisors (49818357777792).

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

25242544099968 is a wasteful number, since it uses less digits than its factorization.

25242544099968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19128 (or 19103 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 69.

The spelling of 25242544099968 in words is "twenty-five trillion, two hundred forty-two billion, five hundred forty-four million, ninety-nine thousand, nine hundred sixty-eight".