816160160800 has 36 divisors (see below), whose sum is σ = 1992450994506. Its totient is φ = 326464064000.

The previous prime is 816160160747. The next prime is 816160160833. The reversal of 816160160800 is 8061061618.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 523267050384 + 292893110416 = 723372^2 + 541196^2 .

It is a super-2 number, since 2×816160160800² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 816160160800.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 510099301 + ... + 510100900.

Almost surely, 2^816160160800 is an apocalyptic number.

816160160800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

816160160800 is an abundant number, since it is smaller than the sum of its proper divisors (1176290833706).

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

816160160800 is a wasteful number, since it uses less digits than its factorization.

816160160800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020200221 (or 1020200208 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 816160160800 in words is "eight hundred sixteen billion, one hundred sixty million, one hundred sixty thousand, eight hundred".