10984201272 has 48 divisors (see below), whose sum is σ = 32453324280. Its totient is φ = 3328545600.

The previous prime is 10984201271. The next prime is 10984201297. The reversal of 10984201272 is 27210248901.

10984201272 is a `hidden beast` number, since 109 + 8 + 420 + 127 + 2 = 666.

10984201272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10984201271) 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 11 ways as a sum of consecutive naturals, for example, 6933679 + ... + 6935262.

Almost surely, 2^10984201272 is an apocalyptic number.

10984201272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10984201272 is an abundant number, since it is smaller than the sum of its proper divisors (21469123008).

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

10984201272 is a wasteful number, since it uses less digits than its factorization.

10984201272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13868964 (or 13868957 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10984201272 in words is "ten billion, nine hundred eighty-four million, two hundred one thousand, two hundred seventy-two".