165500667050500 has 96 divisors (see below), whose sum is σ = 362053180550880. Its totient is φ = 66090490150400.

The previous prime is 165500667050497. The next prime is 165500667050501. The reversal of 165500667050500 is 5050766005561.

It can be written as a sum of positive squares in 16 ways, for example, as 152687145208896 + 12813521841604 = 12356664^2 + 3579598^2 .

It is not an unprimeable number, because it can be changed into a prime (165500667050501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1077871734 + ... + 1078025266.

It is an arithmetic number, because the mean of its divisors is an integer number (3771387297405).

Almost surely, 2^{165500667050500} is an apocalyptic number.

165500667050500 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 165500667050500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181026590275440).

165500667050500 is an abundant number, since it is smaller than the sum of its proper divisors (196552513500380).

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

165500667050500 is a wasteful number, since it uses less digits than its factorization.

165500667050500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157114 (or 157102 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 46.

The spelling of 165500667050500 in words is "one hundred sixty-five trillion, five hundred billion, six hundred sixty-seven million, fifty thousand, five hundred".