165715200000 has 1152 divisors, whose sum is σ = 706342291200. Its totient is φ = 37601280000.

The previous prime is 165715199983. The next prime is 165715200017. The reversal of 165715200000 is 2517561.

165715200000 is a `hidden beast` number, since 1 + 657 + 1 + 5 + 2 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (165715199983) and next prime (165715200017).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×165715200000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1209599932 + ... + 1209600068.

It is an arithmetic number, because the mean of its divisors is an integer number (613144350).

Almost surely, 2^165715200000 is an apocalyptic number.

165715200000 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 165715200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353171145600).

165715200000 is an abundant number, since it is smaller than the sum of its proper divisors (540627091200).

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

165715200000 is an frugal number, since it uses more digits than its factorization.

165715200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

Adding to 165715200000 its reverse (2517561), we get a palindrome (165717717561).

The spelling of 165715200000 in words is "one hundred sixty-five billion, seven hundred fifteen million, two hundred thousand".