10638272083 has 32 divisors (see below), whose sum is σ = 11602828800. Its totient is φ = 9722592000.

The previous prime is 10638272069. The next prime is 10638272089. The reversal of 10638272083 is 38027283601.

10638272083 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10638272083 is a prime.

It is a super-2 number, since 2×10638272083² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10638272089) 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 31 ways as a sum of consecutive naturals, for example, 15575460 + ... + 15576142.

It is an arithmetic number, because the mean of its divisors is an integer number (362588400).

Almost surely, 2^10638272083 is an apocalyptic number.

10638272083 is a deficient number, since it is larger than the sum of its proper divisors (964556717).

10638272083 is a wasteful number, since it uses less digits than its factorization.

10638272083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003.

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 10638272083 in words is "ten billion, six hundred thirty-eight million, two hundred seventy-two thousand, eighty-three".