809152279938 has 54 divisors (see below), whose sum is σ = 1850457258819. Its totient is φ = 255498874344.

The previous prime is 809152279937. The next prime is 809152279951. The reversal of 809152279938 is 839972251908.

809152279938 is a `hidden beast` number, since 8 + 0 + 9 + 1 + 522 + 79 + 9 + 38 = 666.

It can be written as a sum of positive squares in only one way, i.e., 404576139969 + 404576139969 = 636063^2 + 636063^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=636063.

It is a super-5 number, since 5×809152279938⁵ (a number of 61 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (809152279931) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 72505603 + ... + 72516761.

Almost surely, 2^809152279938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809152279938

809152279938 is an abundant number, since it is smaller than the sum of its proper divisors (1041304978881).

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

809152279938 is an equidigital number, since it uses as much as digits as its factorization.

809152279938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22364 (or 11183 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 809152279938 in words is "eight hundred nine billion, one hundred fifty-two million, two hundred seventy-nine thousand, nine hundred thirty-eight".