10884912528672 has 1152 divisors, whose sum is σ = 42035786956800. Its totient is φ = 2589608558592.

The previous prime is 10884912528647. The next prime is 10884912528673. The reversal of 10884912528672 is 27682521948801.

10884912528672 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 49 + 1 + 2 + 528 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10884912528673) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2668522729 + ... + 2668526807.

It is an arithmetic number, because the mean of its divisors is an integer number (36489398400).

Almost surely, 2^{10884912528672} is an apocalyptic number.

10884912528672 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 10884912528672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21017893478400).

10884912528672 is an abundant number, since it is smaller than the sum of its proper divisors (31150874428128).

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

10884912528672 is a wasteful number, since it uses less digits than its factorization.

10884912528672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390 (or 4379 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

It can be divided in two parts, 1088491 and 2528672, that added together give a palindrome (3617163).

The spelling of 10884912528672 in words is "ten trillion, eight hundred eighty-four billion, nine hundred twelve million, five hundred twenty-eight thousand, six hundred seventy-two".