11006322768 has 300 divisors, whose sum is σ = 37253731680. Its totient is φ = 3127953024.

The previous prime is 11006322653. The next prime is 11006322787. The reversal of 11006322768 is 86722360011.

11006322768 is a `hidden beast` number, since 1 + 10 + 0 + 632 + 2 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×11006322768² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16701223 + ... + 16701881.

Almost surely, 2^11006322768 is an apocalyptic number.

11006322768 is a gapful number since it is divisible by the number (18) 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 11006322768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18626865840).

11006322768 is an abundant number, since it is smaller than the sum of its proper divisors (26247408912).

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

11006322768 is a wasteful number, since it uses less digits than its factorization.

11006322768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 934 counting only the distinct ones).

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

Adding to 11006322768 its reverse (86722360011), we get a palindrome (97728682779).

The spelling of 11006322768 in words is "eleven billion, six million, three hundred twenty-two thousand, seven hundred sixty-eight".