8005681920000 has 960 divisors, whose sum is σ = 28277160912000. Its totient is φ = 2007908352000.

The previous prime is 8005681919951. The next prime is 8005681920077. The reversal of 8005681920000 is 291865008.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 13059839694 + ... + 13059840306.

It is an arithmetic number, because the mean of its divisors is an integer number (29455375950).

Almost surely, 2^{8005681920000} is an apocalyptic number.

8005681920000 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 8005681920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14138580456000).

8005681920000 is an abundant number, since it is smaller than the sum of its proper divisors (20271478992000).

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

8005681920000 is a wasteful number, since it uses less digits than its factorization.

8005681920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 8005681920000 in words is "eight trillion, five billion, six hundred eighty-one million, nine hundred twenty thousand".