165505771386060 has 384 divisors, whose sum is σ = 546516597688320. Its totient is φ = 36632720572416.

The previous prime is 165505771386029. The next prime is 165505771386079. The reversal of 165505771386060 is 60683177505561.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 165505771385985 and 165505771386003.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11341442124 + ... + 11341456716.

It is an arithmetic number, because the mean of its divisors is an integer number (1423220306480).

Almost surely, 2^{165505771386060} is an apocalyptic number.

165505771386060 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 165505771386060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273258298844160).

165505771386060 is an abundant number, since it is smaller than the sum of its proper divisors (381010826302260).

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

165505771386060 is a wasteful number, since it uses less digits than its factorization.

165505771386060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18065 (or 18063 counting only the distinct ones).

The product of its (nonzero) digits is 31752000, while the sum is 60.

The spelling of 165505771386060 in words is "one hundred sixty-five trillion, five hundred five billion, seven hundred seventy-one million, three hundred eighty-six thousand, sixty".