10822131720 has 192 divisors, whose sum is σ = 37384963200. Its totient is φ = 2707292160.

The previous prime is 10822131709. The next prime is 10822131731. The reversal of 10822131720 is 2713122801.

10822131720 is a `hidden beast` number, since 108 + 221 + 317 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (10822131709) and next prime (10822131731).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 696840 + ... + 712200.

It is an arithmetic number, because the mean of its divisors is an integer number (194713350).

Almost surely, 2^10822131720 is an apocalyptic number.

10822131720 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 10822131720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18692481600).

10822131720 is an abundant number, since it is smaller than the sum of its proper divisors (26562831480).

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

10822131720 is a wasteful number, since it uses less digits than its factorization.

10822131720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15500 (or 15493 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 10822131720 in words is "ten billion, eight hundred twenty-two million, one hundred thirty-one thousand, seven hundred twenty".