166436994306960 has 960 divisors, whose sum is σ = 642544747718400. Its totient is φ = 39533908377600.

The previous prime is 166436994306943. The next prime is 166436994307013. The reversal of 166436994306960 is 69603499634661.

166436994306960 is a `hidden beast` number, since 1 + 6 + 6 + 43 + 6 + 99 + 430 + 6 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25523228500 + ... + 25523235020.

It is an arithmetic number, because the mean of its divisors is an integer number (669317445540).

Almost surely, 2^{166436994306960} is an apocalyptic number.

166436994306960 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 166436994306960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321272373859200).

166436994306960 is an abundant number, since it is smaller than the sum of its proper divisors (476107753411440).

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

166436994306960 is a wasteful number, since it uses less digits than its factorization.

166436994306960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9009 (or 8984 counting only the distinct ones).

The product of its (nonzero) digits is 816293376, while the sum is 72.

The spelling of 166436994306960 in words is "one hundred sixty-six trillion, four hundred thirty-six billion, nine hundred ninety-four million, three hundred six thousand, nine hundred sixty".