960864125760 has 2688 divisors, whose sum is σ = 4557381304320. Its totient is φ = 179922124800.

The previous prime is 960864125687. The next prime is 960864125761. The reversal of 960864125760 is 67521468069.

960864125760 is a `hidden beast` number, since 9 + 6 + 0 + 8 + 64 + 1 + 2 + 576 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 960864125697 and 960864125706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960864125761) 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 383 ways as a sum of consecutive naturals, for example, 9328777869 + ... + 9328777971.

Almost surely, 2^960864125760 is an apocalyptic number.

960864125760 is a gapful number since it is divisible by the number (90) 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 960864125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278690652160).

960864125760 is an abundant number, since it is smaller than the sum of its proper divisors (3596517178560).

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

960864125760 is a wasteful number, since it uses less digits than its factorization.

960864125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 960864125760 in words is "nine hundred sixty billion, eight hundred sixty-four million, one hundred twenty-five thousand, seven hundred sixty".