10821888220 has 144 divisors (see below), whose sum is σ = 28364118048. Its totient is φ = 3418583040.

The previous prime is 10821888151. The next prime is 10821888223. The reversal of 10821888220 is 2288812801.

It is a super-2 number, since 2×10821888220² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10821888223) 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, 819994 + ... + 833086.

It is an arithmetic number, because the mean of its divisors is an integer number (196973042).

Almost surely, 2^10821888220 is an apocalyptic number.

10821888220 is a gapful number since it is divisible by the number (10) 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 10821888220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14182059024).

10821888220 is an abundant number, since it is smaller than the sum of its proper divisors (17542229828).

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

10821888220 is a wasteful number, since it uses less digits than its factorization.

10821888220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13160 (or 13141 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 40.

The spelling of 10821888220 in words is "ten billion, eight hundred twenty-one million, eight hundred eighty-eight thousand, two hundred twenty".