80719368960 has 216 divisors, whose sum is σ = 272084566320. Its totient is φ = 20391911424.

The previous prime is 80719368937. The next prime is 80719369019. The reversal of 80719368960 is 6986391708.

It is a super-2 number, since 2×80719368960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 80719368960.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1357126 + ... + 1415354.

It is an arithmetic number, because the mean of its divisors is an integer number (1259650770).

Almost surely, 2^80719368960 is an apocalyptic number.

80719368960 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 80719368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136042283160).

80719368960 is an abundant number, since it is smaller than the sum of its proper divisors (191365197360).

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

80719368960 is a wasteful number, since it uses less digits than its factorization.

80719368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58291 (or 58258 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 80719368960 in words is "eighty billion, seven hundred nineteen million, three hundred sixty-eight thousand, nine hundred sixty".