10827569220 has 96 divisors (see below), whose sum is σ = 32698162560. Its totient is φ = 2661258240.

The previous prime is 10827569201. The next prime is 10827569239. The reversal of 10827569220 is 2296572801.

It is an interprime number because it is at equal distance from previous prime (10827569201) and next prime (10827569239).

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, 528936 + ... + 549024.

It is an arithmetic number, because the mean of its divisors is an integer number (340605860).

Almost surely, 2^10827569220 is an apocalyptic number.

10827569220 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 10827569220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16349081280).

10827569220 is an abundant number, since it is smaller than the sum of its proper divisors (21870593340).

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

10827569220 is a wasteful number, since it uses less digits than its factorization.

10827569220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20805 (or 20803 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 10827569220 in words is "ten billion, eight hundred twenty-seven million, five hundred sixty-nine thousand, two hundred twenty".