972055035008 has 32 divisors (see below), whose sum is σ = 1948850426460. Its totient is φ = 482931790848.

The previous prime is 972055035001. The next prime is 972055035019. The reversal of 972055035008 is 800530550279.

972055035008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 954122611264 + 17932423744 = 976792^2 + 133912^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 972055035008.

It is not an unprimeable number, because it can be changed into a prime (972055035001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24165191 + ... + 24205382.

Almost surely, 2^972055035008 is an apocalyptic number.

It is an amenable number.

972055035008 is an abundant number, since it is smaller than the sum of its proper divisors (976795391452).

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

972055035008 is a wasteful number, since it uses less digits than its factorization.

972055035008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48370744 (or 48370732 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 44.

The spelling of 972055035008 in words is "nine hundred seventy-two billion, fifty-five million, thirty-five thousand, eight".