965601530880 has 704 divisors, whose sum is σ = 3660342558720. Its totient is φ = 212602060800.

The previous prime is 965601530879. The next prime is 965601530917. The reversal of 965601530880 is 88035106569.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 903274986 + ... + 903276054.

Almost surely, 2^965601530880 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 965601530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830171279360).

965601530880 is an abundant number, since it is smaller than the sum of its proper divisors (2694741027840).

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

965601530880 is a wasteful number, since it uses less digits than its factorization.

965601530880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 965601530880 in words is "nine hundred sixty-five billion, six hundred one million, five hundred thirty thousand, eight hundred eighty".