165209897160 has 768 divisors, whose sum is σ = 704219443200. Its totient is φ = 33834931200.

The previous prime is 165209897147. The next prime is 165209897173. The reversal of 165209897160 is 61798902561.

165209897160 is a `hidden beast` number, since 16 + 520 + 9 + 8 + 97 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (165209897147) and next prime (165209897173).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 165209897097 and 165209897106.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53137686 + ... + 53140794.

It is an arithmetic number, because the mean of its divisors is an integer number (916952400).

Almost surely, 2^165209897160 is an apocalyptic number.

165209897160 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 165209897160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352109721600).

165209897160 is an abundant number, since it is smaller than the sum of its proper divisors (539009546040).

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

165209897160 is a wasteful number, since it uses less digits than its factorization.

165209897160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 165209897160 in words is "one hundred sixty-five billion, two hundred nine million, eight hundred ninety-seven thousand, one hundred sixty".