25797961800192 has 640 divisors, whose sum is σ = 75454620595200. Its totient is φ = 7804167782400.

The previous prime is 25797961800179. The next prime is 25797961800253. The reversal of 25797961800192 is 29100816979752.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31810063467 + ... + 31810064277.

It is an arithmetic number, because the mean of its divisors is an integer number (117897844680).

Almost surely, 2^{25797961800192} 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 25797961800192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37727310297600).

25797961800192 is an abundant number, since it is smaller than the sum of its proper divisors (49656658795008).

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

25797961800192 is a wasteful number, since it uses less digits than its factorization.

25797961800192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 66.

The spelling of 25797961800192 in words is "twenty-five trillion, seven hundred ninety-seven billion, nine hundred sixty-one million, eight hundred thousand, one hundred ninety-two".