806296556160 has 96 divisors (see below), whose sum is σ = 2784242815380. Its totient is φ = 215012413440.

The previous prime is 806296556141. The next prime is 806296556231. The reversal of 806296556160 is 61655692608.

806296556160 is a `hidden beast` number, since 8 + 0 + 6 + 29 + 6 + 556 + 1 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 786712233024 + 19584323136 = 886968^2 + 139944^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×806296556160² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 806296556097 and 806296556106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69985261 + ... + 69996780.

Almost surely, 2^806296556160 is an apocalyptic number.

806296556160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

806296556160 is an abundant number, since it is smaller than the sum of its proper divisors (1977946259220).

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

806296556160 is a wasteful number, since it uses less digits than its factorization.

806296556160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139982066 (or 139982051 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 806296556160 in words is "eight hundred six billion, two hundred ninety-six million, five hundred fifty-six thousand, one hundred sixty".