81920160000000 has 3456 divisors, whose sum is σ = 365074713843840. Its totient is φ = 18289152000000.

The previous prime is 81920159999947. The next prime is 81920160000059. The reversal of 81920160000000 is 6102918.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×81920160000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1905119999979 + ... + 1905120000021.

It is an arithmetic number, because the mean of its divisors is an integer number (105635044515).

Almost surely, 2^{81920160000000} is an apocalyptic number.

81920160000000 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 81920160000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182537356921920).

81920160000000 is an abundant number, since it is smaller than the sum of its proper divisors (283154553843840).

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

81920160000000 is an frugal number, since it uses more digits than its factorization.

81920160000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 81920160000000 its reverse (6102918), we get a palindrome (81920166102918).

The spelling of 81920160000000 in words is "eighty-one trillion, nine hundred twenty billion, one hundred sixty million", and thus it is an aban number.