960864125697 has 96 divisors (see below), whose sum is σ = 1667083213440. Its totient is φ = 545372352000.

The previous prime is 960864125687. The next prime is 960864125761. The reversal of 960864125697 is 796521468069.

960864125697 is a `hidden beast` number, since 9 + 6 + 0 + 8 + 64 + 1 + 2 + 569 + 7 = 666.

It is not a de Polignac number, because 960864125697 - 2¹¹ = 960864123649 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (960864125687) 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 95 ways as a sum of consecutive naturals, for example, 137243197 + ... + 137250197.

It is an arithmetic number, because the mean of its divisors is an integer number (17365450140).

Almost surely, 2^960864125697 is an apocalyptic number.

It is an amenable number.

960864125697 is a deficient number, since it is larger than the sum of its proper divisors (706219087743).

960864125697 is a wasteful number, since it uses less digits than its factorization.

960864125697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7708 (or 7695 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 960864125697 in words is "nine hundred sixty billion, eight hundred sixty-four million, one hundred twenty-five thousand, six hundred ninety-seven".