965684974205952 has 7920 divisors, whose sum is σ = 4320905659488000. Its totient is φ = 212271213772800.

The previous prime is 965684974205891. The next prime is 965684974205953. The reversal of 965684974205952 is 259502479486569.

965684974205952 is a `hidden beast` number, since 9 + 6 + 5 + 6 + 8 + 4 + 97 + 420 + 59 + 52 = 666.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965684974205953) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 31151128200177 + ... + 31151128200207.

It is an arithmetic number, because the mean of its divisors is an integer number (545568896400).

Almost surely, 2^{965684974205952} 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 965684974205952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160452829744000).

965684974205952 is an abundant number, since it is smaller than the sum of its proper divisors (3355220685282048).

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

965684974205952 is a wasteful number, since it uses less digits than its factorization.

965684974205952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 11757312000, while the sum is 81.

The spelling of 965684974205952 in words is "nine hundred sixty-five trillion, six hundred eighty-four billion, nine hundred seventy-four million, two hundred five thousand, nine hundred fifty-two".