11006506422300 has 288 divisors, whose sum is σ = 33859521740800. Its totient is φ = 2752654544640.

The previous prime is 11006506422251. The next prime is 11006506422367. The reversal of 11006506422300 is 322460560011.

It is a super-2 number, since 2×11006506422300² (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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 335149281 + ... + 335182119.

Almost surely, 2^{11006506422300} is an apocalyptic number.

11006506422300 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 11006506422300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16929760870400).

11006506422300 is an abundant number, since it is smaller than the sum of its proper divisors (22853015318500).

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

11006506422300 is a wasteful number, since it uses less digits than its factorization.

11006506422300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33465 (or 33458 counting only the distinct ones).

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

Adding to 11006506422300 its reverse (322460560011), we get a palindrome (11328966982311).

The spelling of 11006506422300 in words is "eleven trillion, six billion, five hundred six million, four hundred twenty-two thousand, three hundred".