165868560000 has 1600 divisors, whose sum is σ = 728716111200. Its totient is φ = 36910080000.

The previous prime is 165868559957. The next prime is 165868560031. The reversal of 165868560000 is 65868561.

165868560000 is a `hidden beast` number, since 1 + 6 + 5 + 86 + 8 + 560 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 926639911 + ... + 926640089.

Almost surely, 2^165868560000 is an apocalyptic number.

165868560000 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 165868560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364358055600).

165868560000 is an abundant number, since it is smaller than the sum of its proper divisors (562847551200).

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

165868560000 is a wasteful number, since it uses less digits than its factorization.

165868560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 165868560000 in words is "one hundred sixty-five billion, eight hundred sixty-eight million, five hundred sixty thousand".