161697776800 has 72 divisors (see below), whose sum is σ = 451136812896. Its totient is φ = 55439235840.

The previous prime is 161697776789. The next prime is 161697776809. The reversal of 161697776800 is 8677796161.

161697776800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×161697776800³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (161697776809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14431702 + ... + 14442901.

It is an arithmetic number, because the mean of its divisors is an integer number (6265789068).

Almost surely, 2^161697776800 is an apocalyptic number.

161697776800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161697776800 is an abundant number, since it is smaller than the sum of its proper divisors (289439036096).

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

161697776800 is a wasteful number, since it uses less digits than its factorization.

161697776800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28874630 (or 28874617 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 58.

The spelling of 161697776800 in words is "one hundred sixty-one billion, six hundred ninety-seven million, seven hundred seventy-six thousand, eight hundred".