960125125824 has 168 divisors, whose sum is σ = 2886117062400. Its totient is φ = 304587689472.

The previous prime is 960125125793. The next prime is 960125125829. The reversal of 960125125824 is 428521521069.

960125125824 is a `hidden beast` number, since 9 + 6 + 0 + 12 + 51 + 2 + 582 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 960125125824.

It is not an unprimeable number, because it can be changed into a prime (960125125829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2454259 + ... + 2818445.

Almost surely, 2^960125125824 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 960125125824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443058531200).

960125125824 is an abundant number, since it is smaller than the sum of its proper divisors (1925991936576).

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

960125125824 is a wasteful number, since it uses less digits than its factorization.

960125125824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364427 (or 364414 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 960125125824 in words is "nine hundred sixty billion, one hundred twenty-five million, one hundred twenty-five thousand, eight hundred twenty-four".