11272617720 has 960 divisors, whose sum is σ = 49933350720. Its totient is φ = 2225553408.

The previous prime is 11272617709. The next prime is 11272617721. The reversal of 11272617720 is 2771627211.

11272617720 is a `hidden beast` number, since 1 + 12 + 7 + 2 + 617 + 7 + 20 = 666.

It is a super-2 number, since 2×11272617720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11272617721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 65159554 + ... + 65159726.

It is an arithmetic number, because the mean of its divisors is an integer number (52013907).

Almost surely, 2^11272617720 is an apocalyptic number.

11272617720 is a gapful number since it is divisible by the number (10) 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 11272617720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24966675360).

11272617720 is an abundant number, since it is smaller than the sum of its proper divisors (38660733000).

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

11272617720 is a wasteful number, since it uses less digits than its factorization.

11272617720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 11272617720 in words is "eleven billion, two hundred seventy-two million, six hundred seventeen thousand, seven hundred twenty".