965960953280 has 112 divisors (see below), whose sum is σ = 2306412577920. Its totient is φ = 385341235200.

The previous prime is 965960953241. The next prime is 965960953289. The reversal of 965960953280 is 82359069569.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965960953289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361646345 + ... + 361649015.

Almost surely, 2^965960953280 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 965960953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153206288960).

965960953280 is an abundant number, since it is smaller than the sum of its proper divisors (1340451624640).

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

965960953280 is a wasteful number, since it uses less digits than its factorization.

965960953280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5318 (or 5308 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 62.

The spelling of 965960953280 in words is "nine hundred sixty-five billion, nine hundred sixty million, nine hundred fifty-three thousand, two hundred eighty".