165242589336000 has 1344 divisors, whose sum is σ = 664038939672576. Its totient is φ = 38871733248000.

The previous prime is 165242589335959. The next prime is 165242589336053. The reversal of 165242589336000 is 633985242561.

It is a happy number.

165242589336000 is a `hidden beast` number, since 1 + 6 + 5 + 2 + 4 + 25 + 8 + 9 + 3 + 3 + 600 + 0 = 666.

It is a super-2 number, since 2×165242589336000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 11223424639 + ... + 11223439361.

Almost surely, 2^{165242589336000} is an apocalyptic number.

165242589336000 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 165242589336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332019469836288).

165242589336000 is an abundant number, since it is smaller than the sum of its proper divisors (498796350336576).

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

165242589336000 is a wasteful number, since it uses less digits than its factorization.

165242589336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15187 (or 15164 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 165242589336000 in words is "one hundred sixty-five trillion, two hundred forty-two billion, five hundred eighty-nine million, three hundred thirty-six thousand".