165251019985152 has 288 divisors, whose sum is σ = 445885697617920. Its totient is φ = 54327570186240.

The previous prime is 165251019985111. The next prime is 165251019985231. The reversal of 165251019985152 is 251589910152561.

It is a super-2 number, since 2×165251019985152² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23637676377 + ... + 23637683367.

It is an arithmetic number, because the mean of its divisors is an integer number (1548214227840).

Almost surely, 2^{165251019985152} is an apocalyptic number.

165251019985152 is a gapful number since it is divisible by the number (12) 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 165251019985152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222942848808960).

165251019985152 is an abundant number, since it is smaller than the sum of its proper divisors (280634677632768).

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

165251019985152 is a wasteful number, since it uses less digits than its factorization.

165251019985152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8349 (or 8335 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 60.

The spelling of 165251019985152 in words is "one hundred sixty-five trillion, two hundred fifty-one billion, nineteen million, nine hundred eighty-five thousand, one hundred fifty-two".