80069444118720 has 448 divisors, whose sum is σ = 323090549591040. Its totient is φ = 18286229938176.

The previous prime is 80069444118701. The next prime is 80069444118757. The reversal of 80069444118720 is 2781144496008.

80069444118720 is a `hidden beast` number, since 8 + 0 + 0 + 69 + 444 + 118 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×80069444118720² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71597779 + ... + 72707501.

It is an arithmetic number, because the mean of its divisors is an integer number (721184262480).

Almost surely, 2^{80069444118720} is an apocalyptic number.

80069444118720 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 80069444118720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161545274795520).

80069444118720 is an abundant number, since it is smaller than the sum of its proper divisors (243021105472320).

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

80069444118720 is a wasteful number, since it uses less digits than its factorization.

80069444118720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110949 (or 1110933 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 80069444118720 in words is "eighty trillion, sixty-nine billion, four hundred forty-four million, one hundred eighteen thousand, seven hundred twenty".