11006317920 has 384 divisors, whose sum is σ = 38407219200. Its totient is φ = 2632900608.

The previous prime is 11006317913. The next prime is 11006317951. The reversal of 11006317920 is 2971360011.

It is a Cunningham number, because it is equal to 104911²-1.

It is a super-2 number, since 2×11006317920² (a number of 21 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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40915546 + ... + 40915814.

It is an arithmetic number, because the mean of its divisors is an integer number (100018800).

Almost surely, 2^11006317920 is an apocalyptic number.

11006317920 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 11006317920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19203609600).

11006317920 is an abundant number, since it is smaller than the sum of its proper divisors (27400901280).

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

11006317920 is a wasteful number, since it uses less digits than its factorization.

11006317920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

Adding to 11006317920 its reverse (2971360011), we get a palindrome (13977677931).

The spelling of 11006317920 in words is "eleven billion, six million, three hundred seventeen thousand, nine hundred twenty".