25395796344680 has 256 divisors, whose sum is σ = 59868033638400. Its totient is φ = 9688359905280.

The previous prime is 25395796344661. The next prime is 25395796344683. The reversal of 25395796344680 is 8644369759352.

It is not an unprimeable number, because it can be changed into a prime (25395796344683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6940636691 + ... + 6940640349.

It is an arithmetic number, because the mean of its divisors is an integer number (233859506400).

Almost surely, 2^{25395796344680} is an apocalyptic number.

25395796344680 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 25395796344680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29934016819200).

25395796344680 is an abundant number, since it is smaller than the sum of its proper divisors (34472237293720).

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

25395796344680 is a wasteful number, since it uses less digits than its factorization.

25395796344680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4384 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 71.

The spelling of 25395796344680 in words is "twenty-five trillion, three hundred ninety-five billion, seven hundred ninety-six million, three hundred forty-four thousand, six hundred eighty".