11071559772 has 432 divisors, whose sum is σ = 36833771520. Its totient is φ = 2739889152.

The previous prime is 11071559753. The next prime is 11071559789. The reversal of 11071559772 is 27795517011.

11071559772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11071559772³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 87177573 + ... + 87177699.

It is an arithmetic number, because the mean of its divisors is an integer number (85263360).

Almost surely, 2^11071559772 is an apocalyptic number.

11071559772 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 11071559772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18416885760).

11071559772 is an abundant number, since it is smaller than the sum of its proper divisors (25762211748).

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

11071559772 is a wasteful number, since it uses less digits than its factorization.

11071559772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 154350, while the sum is 45.

The spelling of 11071559772 in words is "eleven billion, seventy-one million, five hundred fifty-nine thousand, seven hundred seventy-two".