11611971072 has 480 divisors, whose sum is σ = 38488369920. Its totient is φ = 3364208640.

The previous prime is 11611971047. The next prime is 11611971073. The reversal of 11611971072 is 27017911611.

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 (11611971073) 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 47 ways as a sum of consecutive naturals, for example, 313837038 + ... + 313837074.

It is an arithmetic number, because the mean of its divisors is an integer number (80184104).

Almost surely, 2^11611971072 is an apocalyptic number.

11611971072 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 11611971072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19244184960).

11611971072 is an abundant number, since it is smaller than the sum of its proper divisors (26876398848).

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

11611971072 is an equidigital number, since it uses as much as digits as its factorization.

11611971072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 36.

The spelling of 11611971072 in words is "eleven billion, six hundred eleven million, nine hundred seventy-one thousand, seventy-two".