809967125736240 has 160 divisors (see below), whose sum is σ = 2660554269580800. Its totient is φ = 203268152678400.

The previous prime is 809967125736227. The next prime is 809967125736277. The reversal of 809967125736240 is 42637521769908.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 587471605 + ... + 588848724.

It is an arithmetic number, because the mean of its divisors is an integer number (16628464184880).

It is a 2-persistent number, because it is pandigital, and so is 2⋅809967125736240 = 1619934251472480, but 3⋅809967125736240 = 2429901377208720 is not.

Almost surely, 2^{809967125736240} is an apocalyptic number.

809967125736240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

809967125736240 is an abundant number, since it is smaller than the sum of its proper divisors (1850587143844560).

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

809967125736240 is a wasteful number, since it uses less digits than its factorization.

809967125736240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176320515 (or 1176320509 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 69.

The spelling of 809967125736240 in words is "eight hundred nine trillion, nine hundred sixty-seven billion, one hundred twenty-five million, seven hundred thirty-six thousand, two hundred forty".