808825040160 has 48 divisors (see below), whose sum is σ = 2547798878016. Its totient is φ = 215686677248.

The previous prime is 808825040147. The next prime is 808825040167. The reversal of 808825040160 is 61040528808.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×808825040160² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (808825040167) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 842525604 + ... + 842526563.

It is an arithmetic number, because the mean of its divisors is an integer number (53079143292).

Almost surely, 2^808825040160 is an apocalyptic number.

808825040160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

808825040160 is an abundant number, since it is smaller than the sum of its proper divisors (1738973837856).

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

808825040160 is a wasteful number, since it uses less digits than its factorization.

808825040160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685052185 (or 1685052177 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

Adding to 808825040160 its reverse (61040528808), we get a palindrome (869865568968).

The spelling of 808825040160 in words is "eight hundred eight billion, eight hundred twenty-five million, forty thousand, one hundred sixty".