895978000125 has 256 divisors, whose sum is σ = 1837376486400. Its totient is φ = 427966156800.

The previous prime is 895978000121. The next prime is 895978000133. The reversal of 895978000125 is 521000879598.

It is not a de Polignac number, because 895978000125 - 2² = 895978000121 is a prime.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 895978000125 = 5701³ + 8924³ = 6765³ + 8370³.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (895978000121) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 887985621 + ... + 887986629.

It is an arithmetic number, because the mean of its divisors is an integer number (7177251900).

Almost surely, 2^895978000125 is an apocalyptic number.

It is an amenable number.

895978000125 is an abundant number, since it is smaller than the sum of its proper divisors (941398486275).

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

895978000125 is a wasteful number, since it uses less digits than its factorization.

895978000125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 895978000125 in words is "eight hundred ninety-five billion, nine hundred seventy-eight million, one hundred twenty-five", and thus it is an aban number.