965352708291972 has 432 divisors, whose sum is σ = 3102282283887360. Its totient is φ = 231405878753280.

The previous prime is 965352708291943. The next prime is 965352708292019. The reversal of 965352708291972 is 279192807253569.

It is a junction number, because it is equal to n+sod(n) for n = 965352708291894 and 965352708291903.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4632840133 + ... + 4633048499.

It is an arithmetic number, because the mean of its divisors is an integer number (7181208990480).

Almost surely, 2^{965352708291972} 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 965352708291972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551141141943680).

965352708291972 is an abundant number, since it is smaller than the sum of its proper divisors (2136929575595388).

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

965352708291972 is a wasteful number, since it uses less digits than its factorization.

965352708291972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213432 (or 213412 counting only the distinct ones).

The product of its (nonzero) digits is 1028764800, while the sum is 75.

The spelling of 965352708291972 in words is "nine hundred sixty-five trillion, three hundred fifty-two billion, seven hundred eight million, two hundred ninety-one thousand, nine hundred seventy-two".