168552921600 has 1440 divisors, whose sum is σ = 750091098240. Its totient is φ = 36309565440.

The previous prime is 168552921587. The next prime is 168552921659. The reversal of 168552921600 is 6129255861.

168552921600 is a `hidden beast` number, since 1 + 6 + 8 + 552 + 92 + 1 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 873331104 + ... + 873331296.

It is an arithmetic number, because the mean of its divisors is an integer number (520896596).

Almost surely, 2^168552921600 is an apocalyptic number.

168552921600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168552921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375045549120).

168552921600 is an abundant number, since it is smaller than the sum of its proper divisors (581538176640).

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

168552921600 is a wasteful number, since it uses less digits than its factorization.

168552921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 168552921600 in words is "one hundred sixty-eight billion, five hundred fifty-two million, nine hundred twenty-one thousand, six hundred".