11006533441020 has 96 divisors (see below), whose sum is σ = 33214096903680. Its totient is φ = 2707246229760.

The previous prime is 11006533440883. The next prime is 11006533441051. The reversal of 11006533441020 is 2014433560011.

It is a super-2 number, since 2×11006533441020² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4320286 + ... + 6377925.

It is an arithmetic number, because the mean of its divisors is an integer number (345980176080).

Almost surely, 2^{11006533441020} is an apocalyptic number.

11006533441020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11006533441020 is an abundant number, since it is smaller than the sum of its proper divisors (22207563462660).

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

11006533441020 is a wasteful number, since it uses less digits than its factorization.

11006533441020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10699555 (or 10699553 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 11006533441020 in words is "eleven trillion, six billion, five hundred thirty-three million, four hundred forty-one thousand, twenty".