165098377728 has 360 divisors, whose sum is σ = 504361117260. Its totient is φ = 51980206080.

The previous prime is 165098377693. The next prime is 165098377739. The reversal of 165098377728 is 827773890561.

165098377728 is a `hidden beast` number, since 1 + 6 + 509 + 8 + 37 + 77 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 122477601024 + 42620776704 = 349968^2 + 206448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 216948868 + ... + 216949628.

Almost surely, 2^165098377728 is an apocalyptic number.

165098377728 is a gapful number since it is divisible by the number (18) 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 165098377728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252180558630).

165098377728 is an abundant number, since it is smaller than the sum of its proper divisors (339262739532).

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

165098377728 is an equidigital number, since it uses as much as digits as its factorization.

165098377728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 165098377728 in words is "one hundred sixty-five billion, ninety-eight million, three hundred seventy-seven thousand, seven hundred twenty-eight".