10011158272 has 72 divisors (see below), whose sum is σ = 20577765600. Its totient is φ = 4857937920.

The previous prime is 10011158263. The next prime is 10011158299. The reversal of 10011158272 is 27285111001.

It is a self number, because there is not a number n which added to its sum of digits gives 10011158272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2086308 + ... + 2091100.

It is an arithmetic number, because the mean of its divisors is an integer number (285802300).

Almost surely, 2^10011158272 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 10011158272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10288882800).

10011158272 is an abundant number, since it is smaller than the sum of its proper divisors (10566607328).

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

10011158272 is an equidigital number, since it uses as much as digits as its factorization.

10011158272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5049 (or 5035 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 28.

Adding to 10011158272 its reverse (27285111001), we get a palindrome (37296269273).

The spelling of 10011158272 in words is "ten billion, eleven million, one hundred fifty-eight thousand, two hundred seventy-two".