10111721472 has 336 divisors, whose sum is σ = 31282355520. Its totient is φ = 3140222976.

The previous prime is 10111721471. The next prime is 10111721489. The reversal of 10111721472 is 27412711101.

10111721472 is a `hidden beast` number, since 10 + 11 + 172 + 1 + 472 = 666.

It is a super-2 number, since 2×10111721472² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10111721471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113614804 + ... + 113614892.

Almost surely, 2^10111721472 is an apocalyptic number.

10111721472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111721472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15641177760).

10111721472 is an abundant number, since it is smaller than the sum of its proper divisors (21170634048).

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

10111721472 is an equidigital number, since it uses as much as digits as its factorization.

10111721472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The spelling of 10111721472 in words is "ten billion, one hundred eleven million, seven hundred twenty-one thousand, four hundred seventy-two".