11072747952 has 720 divisors, whose sum is σ = 41272358400. Its totient is φ = 2866824576.

The previous prime is 11072747899. The next prime is 11072748061. The reversal of 11072747952 is 25974727011.

11072747952 is a `hidden beast` number, since 1 + 107 + 27 + 479 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11072747898 and 11072747907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 481423813 + ... + 481423835.

It is an arithmetic number, because the mean of its divisors is an integer number (57322720).

Almost surely, 2^11072747952 is an apocalyptic number.

11072747952 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 11072747952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20636179200).

11072747952 is an abundant number, since it is smaller than the sum of its proper divisors (30199610448).

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

11072747952 is an equidigital number, since it uses as much as digits as its factorization.

11072747952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 11072747952 in words is "eleven billion, seventy-two million, seven hundred forty-seven thousand, nine hundred fifty-two".