8271882199680 has 512 divisors, whose sum is σ = 30289734604800. Its totient is φ = 1900508037120.

The previous prime is 8271882199649. The next prime is 8271882199681. The reversal of 8271882199680 is 869912881728.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (8271882199681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52869727 + ... + 53025953.

It is an arithmetic number, because the mean of its divisors is an integer number (59159637900).

Almost surely, 2^{8271882199680} is an apocalyptic number.

8271882199680 is a gapful number since it is divisible by the number (80) 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 8271882199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15144867302400).

8271882199680 is an abundant number, since it is smaller than the sum of its proper divisors (22017852405120).

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

8271882199680 is a wasteful number, since it uses less digits than its factorization.

8271882199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156392 (or 156380 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 69.

The spelling of 8271882199680 in words is "eight trillion, two hundred seventy-one billion, eight hundred eighty-two million, one hundred ninety-nine thousand, six hundred eighty".