960197765120 has 288 divisors, whose sum is σ = 2665748685600. Its totient is φ = 330777722880.

The previous prime is 960197765119. The next prime is 960197765141. The reversal of 960197765120 is 21567791069.

It is a super-2 number, since 2×960197765120² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23521367 + ... + 23562153.

It is an arithmetic number, because the mean of its divisors is an integer number (9256071825).

Almost surely, 2^960197765120 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 960197765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332874342800).

960197765120 is an abundant number, since it is smaller than the sum of its proper divisors (1705550920480).

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

960197765120 is a wasteful number, since it uses less digits than its factorization.

960197765120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40855 (or 40824 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 53.

The spelling of 960197765120 in words is "nine hundred sixty billion, one hundred ninety-seven million, seven hundred sixty-five thousand, one hundred twenty".