965039348160 has 448 divisors, whose sum is σ = 3794438131200. Its totient is φ = 229457608704.

The previous prime is 965039348159. The next prime is 965039348173. The reversal of 965039348160 is 61843930569.

965039348160 is a `hidden beast` number, since 9 + 6 + 50 + 393 + 48 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 965039348097 and 965039348106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2617819 + ... + 2963621.

Almost surely, 2^965039348160 is an apocalyptic number.

965039348160 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 965039348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897219065600).

965039348160 is an abundant number, since it is smaller than the sum of its proper divisors (2829398783040).

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

965039348160 is a wasteful number, since it uses less digits than its factorization.

965039348160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345865 (or 345849 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 965039348160 in words is "nine hundred sixty-five billion, thirty-nine million, three hundred forty-eight thousand, one hundred sixty".