166687725404160 has 720 divisors, whose sum is σ = 592049527655040. Its totient is φ = 43365920931840.

The previous prime is 166687725404159. The next prime is 166687725404237. The reversal of 166687725404160 is 61404527786661.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6994563445 + ... + 6994587275.

It is an arithmetic number, because the mean of its divisors is an integer number (822291010632).

Almost surely, 2^{166687725404160} is an apocalyptic number.

166687725404160 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 166687725404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296024763827520).

166687725404160 is an abundant number, since it is smaller than the sum of its proper divisors (425361802250880).

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

166687725404160 is a wasteful number, since it uses less digits than its factorization.

166687725404160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24102 (or 24073 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 166687725404160 in words is "one hundred sixty-six trillion, six hundred eighty-seven billion, seven hundred twenty-five million, four hundred four thousand, one hundred sixty".