80513384848160 has 384 divisors, whose sum is σ = 218160634245120. Its totient is φ = 27793700352000.

The previous prime is 80513384848157. The next prime is 80513384848163. The reversal of 80513384848160 is 6184848331508.

It is an interprime number because it is at equal distance from previous prime (80513384848157) and next prime (80513384848163).

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 80513384848160.

It is not an unprimeable number, because it can be changed into a prime (80513384848163) 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, 7414432811 + ... + 7414443669.

It is an arithmetic number, because the mean of its divisors is an integer number (568126651680).

Almost surely, 2^{80513384848160} is an apocalyptic number.

80513384848160 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 80513384848160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109080317122560).

80513384848160 is an abundant number, since it is smaller than the sum of its proper divisors (137647249396960).

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

80513384848160 is a wasteful number, since it uses less digits than its factorization.

80513384848160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12272 (or 12264 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 59.

The spelling of 80513384848160 in words is "eighty trillion, five hundred thirteen billion, three hundred eighty-four million, eight hundred forty-eight thousand, one hundred sixty".