965825079696 has 75 divisors (see below), whose sum is σ = 2795480391451. Its totient is φ = 321929900064.

The previous prime is 965825079679. The next prime is 965825079719. The reversal of 965825079696 is 696970528569.

The square root of 965825079696 is 982764.

It is a perfect power (a square), and thus also a powerful number.

965825079696 is a `hidden beast` number, since 9 + 6 + 58 + 2 + 507 + 9 + 69 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 35365855 + ... + 35393153.

Almost surely, 2^965825079696 is an apocalyptic number.

965825079696 is the 982764-th square number.

It is an amenable number.

965825079696 is an abundant number, since it is smaller than the sum of its proper divisors (1829655311755).

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

965825079696 is an frugal number, since it uses more digits than its factorization.

965825079696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54618 (or 27304 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 965825079696 in words is "nine hundred sixty-five billion, eight hundred twenty-five million, seventy-nine thousand, six hundred ninety-six".