166877637120 has 480 divisors, whose sum is σ = 623925244800. Its totient is φ = 41094316032.

The previous prime is 166877637107. The next prime is 166877637131. The reversal of 166877637120 is 21736778661.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 15362251 + ... + 15373109.

It is an arithmetic number, because the mean of its divisors is an integer number (1299844260).

Almost surely, 2^166877637120 is an apocalyptic number.

166877637120 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 166877637120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311962622400).

166877637120 is an abundant number, since it is smaller than the sum of its proper divisors (457047607680).

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

166877637120 is a wasteful number, since it uses less digits than its factorization.

166877637120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10940 (or 10921 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 166877637120 in words is "one hundred sixty-six billion, eight hundred seventy-seven million, six hundred thirty-seven thousand, one hundred twenty".