168121191600 has 120 divisors (see below), whose sum is σ = 598386946320. Its totient is φ = 44832314880.

The previous prime is 168121191583. The next prime is 168121191643. The reversal of 168121191600 is 6191121861.

It is a happy number.

168121191600 is a `hidden beast` number, since 16 + 8 + 1 + 21 + 19 + 1 + 600 = 666.

168121191600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7772589 + ... + 7794188.

It is an arithmetic number, because the mean of its divisors is an integer number (4986557886).

Almost surely, 2^168121191600 is an apocalyptic number.

168121191600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168121191600 is an abundant number, since it is smaller than the sum of its proper divisors (430265754720).

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

168121191600 is a wasteful number, since it uses less digits than its factorization.

168121191600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15566804 (or 15566787 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 168121191600 in words is "one hundred sixty-eight billion, one hundred twenty-one million, one hundred ninety-one thousand, six hundred".