800729280512001 has 32 divisors (see below), whose sum is σ = 1211515730342400. Its totient is φ = 522457157704320.

The previous prime is 800729280511999. The next prime is 800729280512011. The reversal of 800729280512001 is 100215082927008.

800729280512001 is a `hidden beast` number, since 80 + 0 + 7 + 292 + 80 + 5 + 1 + 200 + 1 = 666.

It is not a de Polignac number, because 800729280512001 - 2¹ = 800729280511999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (800729280512011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147947835 + ... + 153264543.

It is an arithmetic number, because the mean of its divisors is an integer number (37859866573200).

Almost surely, 2^{800729280512001} is an apocalyptic number.

It is an amenable number.

800729280512001 is a deficient number, since it is larger than the sum of its proper divisors (410786449830399).

800729280512001 is a wasteful number, since it uses less digits than its factorization.

800729280512001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5435446 (or 5435440 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 800729280512001 in words is "eight hundred trillion, seven hundred twenty-nine billion, two hundred eighty million, five hundred twelve thousand, one".