165607556083200 has 1440 divisors, whose sum is σ = 742141192066560. Its totient is φ = 34261268889600.

The previous prime is 165607556083051. The next prime is 165607556083213. The reversal of 165607556083200 is 2380655706561.

It is a happy number.

165607556083200 is a `hidden beast` number, since 1 + 6 + 5 + 6 + 0 + 7 + 5 + 5 + 608 + 3 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2031280837 + ... + 2031362363.

It is an arithmetic number, because the mean of its divisors is an integer number (515375827824).

Almost surely, 2^{165607556083200} is an apocalyptic number.

165607556083200 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 165607556083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371070596033280).

165607556083200 is an abundant number, since it is smaller than the sum of its proper divisors (576533635983360).

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

165607556083200 is a wasteful number, since it uses less digits than its factorization.

165607556083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81808 (or 81784 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 165607556083200 in words is "one hundred sixty-five trillion, six hundred seven billion, five hundred fifty-six million, eighty-three thousand, two hundred".