11953429272 has 96 divisors (see below), whose sum is σ = 33289276800. Its totient is φ = 3872074752.

The previous prime is 11953429259. The next prime is 11953429363. The reversal of 11953429272 is 27292435911.

11953429272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2685753 + ... + 2690199.

It is an arithmetic number, because the mean of its divisors is an integer number (346763300).

Almost surely, 2^11953429272 is an apocalyptic number.

11953429272 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 11953429272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16644638400).

11953429272 is an abundant number, since it is smaller than the sum of its proper divisors (21335847528).

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

11953429272 is a wasteful number, since it uses less digits than its factorization.

11953429272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5498 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 11953429272 in words is "eleven billion, nine hundred fifty-three million, four hundred twenty-nine thousand, two hundred seventy-two".