11032827010632 has 320 divisors, whose sum is σ = 35913789141120. Its totient is φ = 3099217738752.

The previous prime is 11032827010627. The next prime is 11032827010661. The reversal of 11032827010632 is 23601072823011.

11032827010632 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 2 + 8 + 2 + 7 + 0 + 10 + 632 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 104915023 + ... + 105020129.

It is an arithmetic number, because the mean of its divisors is an integer number (112230591066).

Almost surely, 2^{11032827010632} is an apocalyptic number.

11032827010632 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 11032827010632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17956894570560).

11032827010632 is an abundant number, since it is smaller than the sum of its proper divisors (24880962130488).

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

11032827010632 is a wasteful number, since it uses less digits than its factorization.

11032827010632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105522 (or 105509 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 11032827010632 its reverse (23601072823011), we get a palindrome (34633899833643).

The spelling of 11032827010632 in words is "eleven trillion, thirty-two billion, eight hundred twenty-seven million, ten thousand, six hundred thirty-two".