11029211856 has 160 divisors (see below), whose sum is σ = 36098939520. Its totient is φ = 3193952256.

The previous prime is 11029211819. The next prime is 11029211887. The reversal of 11029211856 is 65811292011.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11029211856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37711 + ... + 153233.

It is an arithmetic number, because the mean of its divisors is an integer number (225618372).

Almost surely, 2^11029211856 is an apocalyptic number.

11029211856 is a gapful number since it is divisible by the number (16) 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 11029211856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18049469760).

11029211856 is an abundant number, since it is smaller than the sum of its proper divisors (25069727664).

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

11029211856 is a wasteful number, since it uses less digits than its factorization.

11029211856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115570 (or 115558 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 11029211856 in words is "eleven billion, twenty-nine million, two hundred eleven thousand, eight hundred fifty-six".