166733038080 has 480 divisors, whose sum is σ = 666408847104. Its totient is φ = 37736644608.

The previous prime is 166733038067. The next prime is 166733038081. The reversal of 166733038080 is 80830337661.

166733038080 is a `hidden beast` number, since 166 + 7 + 3 + 30 + 380 + 80 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (166733038081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16606822 + ... + 16616858.

Almost surely, 2^166733038080 is an apocalyptic number.

166733038080 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 166733038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333204423552).

166733038080 is an abundant number, since it is smaller than the sum of its proper divisors (499675809024).

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

166733038080 is a wasteful number, since it uses less digits than its factorization.

166733038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10176 (or 10157 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 166733038080 in words is "one hundred sixty-six billion, seven hundred thirty-three million, thirty-eight thousand, eighty".