166617505000 has 80 divisors (see below), whose sum is σ = 391363051860. Its totient is φ = 66480000000.

The previous prime is 166617504979. The next prime is 166617505001. The reversal of 166617505000 is 505716661.

It can be written as a sum of positive squares in 10 ways, for example, as 1458170596 + 165159334404 = 38186^2 + 406398^2 .

It is a super-2 number, since 2×166617505000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (166617505001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1963450 + ... + 2046550.

Almost surely, 2^166617505000 is an apocalyptic number.

166617505000 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 166617505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195681525930).

166617505000 is an abundant number, since it is smaller than the sum of its proper divisors (224745546860).

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

166617505000 is an equidigital number, since it uses as much as digits as its factorization.

166617505000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83528 (or 83509 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 166617505000 in words is "one hundred sixty-six billion, six hundred seventeen million, five hundred five thousand".