160500506166000 has 5760 divisors, whose sum is σ = 795384434138112. Its totient is φ = 29628426240000.

The previous prime is 160500506165959. The next prime is 160500506166089. The reversal of 160500506166000 is 661605005061.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 760665905895 + ... + 760665906105.

Almost surely, 2^{160500506166000} is an apocalyptic number.

160500506166000 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 160500506166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397692217069056).

160500506166000 is an abundant number, since it is smaller than the sum of its proper divisors (634883927972112).

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

160500506166000 is a wasteful number, since it uses less digits than its factorization.

160500506166000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 160500506166000 in words is "one hundred sixty trillion, five hundred billion, five hundred six million, one hundred sixty-six thousand".