162665130216960 has 2400 divisors, whose sum is σ = 693214052398560. Its totient is φ = 36337179820032.

The previous prime is 162665130216937. The next prime is 162665130216989. The reversal of 162665130216960 is 69612031566261.

162665130216960 is a `hidden beast` number, since 1 + 6 + 2 + 6 + 6 + 513 + 0 + 2 + 1 + 69 + 60 = 666.

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 = 162665130216897 and 162665130216906.

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 239 ways as a sum of consecutive naturals, for example, 204096775282 + ... + 204096776078.

Almost surely, 2^{162665130216960} is an apocalyptic number.

162665130216960 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 162665130216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346607026199280).

162665130216960 is an abundant number, since it is smaller than the sum of its proper divisors (530548922181600).

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

162665130216960 is an equidigital number, since it uses as much as digits as its factorization.

162665130216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 162665130216960 in words is "one hundred sixty-two trillion, six hundred sixty-five billion, one hundred thirty million, two hundred sixteen thousand, nine hundred sixty".