11082215232 has 168 divisors, whose sum is σ = 35936907552. Its totient is φ = 3358195200.

The previous prime is 11082215231. The next prime is 11082215233. The reversal of 11082215232 is 23251228011.

11082215232 is a `hidden beast` number, since 110 + 8 + 2 + 21 + 523 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (11082215231) and next prime (11082215233).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11082215196 and 11082215205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11082215231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138682 + ... + 203462.

It is an arithmetic number, because the mean of its divisors is an integer number (213910164).

Almost surely, 2^11082215232 is an apocalyptic number.

11082215232 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 11082215232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17968453776).

11082215232 is an abundant number, since it is smaller than the sum of its proper divisors (24854692320).

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

11082215232 is an equidigital number, since it uses as much as digits as its factorization.

11082215232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64819 (or 64797 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 11082215232 in words is "eleven billion, eighty-two million, two hundred fifteen thousand, two hundred thirty-two".