11351027772 has 144 divisors (see below), whose sum is σ = 36247266720. Its totient is φ = 3052353024.

The previous prime is 11351027767. The next prime is 11351027773. The reversal of 11351027772 is 27772015311.

It is a happy number.

11351027772 is a `hidden beast` number, since 1 + 1 + 3 + 510 + 2 + 77 + 72 = 666.

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 (11351027773) 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, 26878 + ... + 153050.

It is an arithmetic number, because the mean of its divisors is an integer number (251717130).

Almost surely, 2^11351027772 is an apocalyptic number.

11351027772 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 11351027772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18123633360).

11351027772 is an abundant number, since it is smaller than the sum of its proper divisors (24896238948).

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

11351027772 is a wasteful number, since it uses less digits than its factorization.

11351027772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126217 (or 126202 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The spelling of 11351027772 in words is "eleven billion, three hundred fifty-one million, twenty-seven thousand, seven hundred seventy-two".