965370097728 has 224 divisors, whose sum is σ = 2988663974400. Its totient is φ = 304722528768.

The previous prime is 965370097691. The next prime is 965370097733. The reversal of 965370097728 is 827790073569.

965370097728 is a `hidden beast` number, since 9 + 6 + 537 + 0 + 0 + 9 + 77 + 28 = 666.

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 31 ways as a sum of consecutive naturals, for example, 100690951 + ... + 100700537.

Almost surely, 2^965370097728 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 965370097728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494331987200).

965370097728 is an abundant number, since it is smaller than the sum of its proper divisors (2023293876672).

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

965370097728 is a wasteful number, since it uses less digits than its factorization.

965370097728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12694 (or 12678 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 965370097728 in words is "nine hundred sixty-five billion, three hundred seventy million, ninety-seven thousand, seven hundred twenty-eight".