961533866560512 has 528 divisors, whose sum is σ = 3239400932090880. Its totient is φ = 251869143859200.

The previous prime is 961533866560483. The next prime is 961533866560517. The reversal of 961533866560512 is 215065668335169.

It is not an unprimeable number, because it can be changed into a prime (961533866560517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83238462 + ... + 94083522.

Almost surely, 2^{961533866560512} 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 961533866560512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619700466045440).

961533866560512 is an abundant number, since it is smaller than the sum of its proper divisors (2277867065530368).

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

961533866560512 is a wasteful number, since it uses less digits than its factorization.

961533866560512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10845148 (or 10845123 counting only the distinct ones).

The product of its (nonzero) digits is 209952000, while the sum is 66.

The spelling of 961533866560512 in words is "nine hundred sixty-one trillion, five hundred thirty-three billion, eight hundred sixty-six million, five hundred sixty thousand, five hundred twelve".