8100882761712 has 320 divisors, whose sum is σ = 23490207197184. Its totient is φ = 2389752668160.

The previous prime is 8100882761711. The next prime is 8100882761729. The reversal of 8100882761712 is 2171672880018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8100882761711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 355649268 + ... + 355672044.

Almost surely, 2^{8100882761712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8100882761712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11745103598592).

8100882761712 is an abundant number, since it is smaller than the sum of its proper divisors (15389324435472).

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

8100882761712 is a wasteful number, since it uses less digits than its factorization.

8100882761712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23096 (or 23090 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 51.

The spelling of 8100882761712 in words is "eight trillion, one hundred billion, eight hundred eighty-two million, seven hundred sixty-one thousand, seven hundred twelve".