8721886940928 has 432 divisors, whose sum is σ = 30015331557120. Its totient is φ = 2490953472000.

The previous prime is 8721886940927. The next prime is 8721886940951. The reversal of 8721886940928 is 8290496881278.

8721886940928 is a `hidden beast` number, since 87 + 2 + 1 + 88 + 69 + 409 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8721886940927) 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 47 ways as a sum of consecutive naturals, for example, 1331379253 + ... + 1331385803.

It is an arithmetic number, because the mean of its divisors is an integer number (69479934160).

Almost surely, 2^{8721886940928} 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 8721886940928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15007665778560).

8721886940928 is an abundant number, since it is smaller than the sum of its proper divisors (21293444616192).

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

8721886940928 is a wasteful number, since it uses less digits than its factorization.

8721886940928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10521 (or 10494 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 8721886940928 in words is "eight trillion, seven hundred twenty-one billion, eight hundred eighty-six million, nine hundred forty thousand, nine hundred twenty-eight".