10822802189472 has 384 divisors, whose sum is σ = 38860329553920. Its totient is φ = 2853686246400.

The previous prime is 10822802189467. The next prime is 10822802189489. The reversal of 10822802189472 is 27498120822801.

It is a happy number.

10822802189472 is a `hidden beast` number, since 1 + 0 + 82 + 2 + 80 + 2 + 18 + 9 + 472 = 666.

10822802189472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10822802189472³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 389253523 + ... + 389281325.

It is an arithmetic number, because the mean of its divisors is an integer number (101198774880).

Almost surely, 2^{10822802189472} is an apocalyptic number.

10822802189472 is a gapful number since it is divisible by the number (12) 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 10822802189472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19430164776960).

10822802189472 is an abundant number, since it is smaller than the sum of its proper divisors (28037527364448).

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

10822802189472 is a wasteful number, since it uses less digits than its factorization.

10822802189472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32793 (or 32779 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 10822802189472 in words is "ten trillion, eight hundred twenty-two billion, eight hundred two million, one hundred eighty-nine thousand, four hundred seventy-two".