165473600400 has 360 divisors, whose sum is σ = 611571827880. Its totient is φ = 41287925760.

The previous prime is 165473600399. The next prime is 165473600407. The reversal of 165473600400 is 4006374561.

It is a happy number.

165473600400 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 7 + 3 + 600 + 40 + 0 = 666.

165473600400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 8591065344 + 156882535056 = 92688^2 + 396084^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (165473600407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10579786 + ... + 10595414.

It is an arithmetic number, because the mean of its divisors is an integer number (1698810633).

Almost surely, 2^165473600400 is an apocalyptic number.

165473600400 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 165473600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305785913940).

165473600400 is an abundant number, since it is smaller than the sum of its proper divisors (446098227480).

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

165473600400 is a wasteful number, since it uses less digits than its factorization.

165473600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15843 (or 15829 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 165473600400 its reverse (4006374561), we get a palindrome (169479974961).

The spelling of 165473600400 in words is "one hundred sixty-five billion, four hundred seventy-three million, six hundred thousand, four hundred".