10823331827220 has 96 divisors (see below), whose sum is σ = 33279302117376. Its totient is φ = 2606461584000.

The previous prime is 10823331827213. The next prime is 10823331827251. The reversal of 10823331827220 is 2272813332801.

It is a super-2 number, since 2×10823331827220² (a number of 27 digits) contains 22 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 31 ways as a sum of consecutive naturals, for example, 54201624 + ... + 54400943.

It is an arithmetic number, because the mean of its divisors is an integer number (346659397056).

Almost surely, 2^{10823331827220} is an apocalyptic number.

10823331827220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10823331827220 is an abundant number, since it is smaller than the sum of its proper divisors (22455970290156).

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

10823331827220 is a wasteful number, since it uses less digits than its factorization.

10823331827220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108602741 (or 108602739 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 10823331827220 in words is "ten trillion, eight hundred twenty-three billion, three hundred thirty-one million, eight hundred twenty-seven thousand, two hundred twenty".