80873523744768 has 312 divisors, whose sum is σ = 244643612336448. Its totient is φ = 25692597190656.

The previous prime is 80873523744757. The next prime is 80873523744773. The reversal of 80873523744768 is 86744732537808.

80873523744768 is a `hidden beast` number, since 8 + 0 + 8 + 73 + 52 + 3 + 7 + 447 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 80873523744696 and 80873523744705.

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 23 ways as a sum of consecutive naturals, for example, 234688371 + ... + 235032717.

It is an arithmetic number, because the mean of its divisors is an integer number (784114142104).

Almost surely, 2^{80873523744768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80873523744768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122321806168224).

80873523744768 is an abundant number, since it is smaller than the sum of its proper divisors (163770088591680).

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

80873523744768 is a wasteful number, since it uses less digits than its factorization.

80873523744768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344677 (or 344652 counting only the distinct ones).

The product of its (nonzero) digits is 1517322240, while the sum is 72.

The spelling of 80873523744768 in words is "eighty trillion, eight hundred seventy-three billion, five hundred twenty-three million, seven hundred forty-four thousand, seven hundred sixty-eight".