11027717712 has 240 divisors, whose sum is σ = 34972404480. Its totient is φ = 3213235200.

The previous prime is 11027717711. The next prime is 11027717731. The reversal of 11027717712 is 21771772011.

It is a happy number.

It is a super-2 number, since 2×11027717712² (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 not an unprimeable number, because it can be changed into a prime (11027717711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19798138 + ... + 19798694.

It is an arithmetic number, because the mean of its divisors is an integer number (145718352).

Almost surely, 2^11027717712 is an apocalyptic number.

11027717712 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 11027717712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17486202240).

11027717712 is an abundant number, since it is smaller than the sum of its proper divisors (23944686768).

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

11027717712 is a wasteful number, since it uses less digits than its factorization.

11027717712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 9604, while the sum is 36.

The spelling of 11027717712 in words is "eleven billion, twenty-seven million, seven hundred seventeen thousand, seven hundred twelve".