972892856480 has 48 divisors (see below), whose sum is σ = 2298527819784. Its totient is φ = 389145553920.

The previous prime is 972892856449. The next prime is 972892856489. The reversal of 972892856480 is 84658298279.

It can be written as a sum of positive squares in 4 ways, for example, as 569246106256 + 403646750224 = 754484^2 + 635332^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 972892856480.

It is not an unprimeable number, because it can be changed into a prime (972892856489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7057010 + ... + 7193550.

Almost surely, 2^972892856480 is an apocalyptic number.

It is an amenable number.

972892856480 is an abundant number, since it is smaller than the sum of its proper divisors (1325634963304).

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

972892856480 is a wasteful number, since it uses less digits than its factorization.

972892856480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181089 (or 181081 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 68.

The spelling of 972892856480 in words is "nine hundred seventy-two billion, eight hundred ninety-two million, eight hundred fifty-six thousand, four hundred eighty".