961130020272 has 160 divisors (see below), whose sum is σ = 2670699778560. Its totient is φ = 296781926400.

The previous prime is 961130020271. The next prime is 961130020283. The reversal of 961130020272 is 272020031169.

It is not an unprimeable number, because it can be changed into a prime (961130020271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13394763 + ... + 13466325.

It is an arithmetic number, because the mean of its divisors is an integer number (16691873616).

Almost surely, 2^961130020272 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 961130020272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335349889280).

961130020272 is an abundant number, since it is smaller than the sum of its proper divisors (1709569758288).

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

961130020272 is a wasteful number, since it uses less digits than its factorization.

961130020272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71851 (or 71845 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 961130020272 in words is "nine hundred sixty-one billion, one hundred thirty million, twenty thousand, two hundred seventy-two".