162166235004400 has 240 divisors, whose sum is σ = 435876055718400. Its totient is φ = 57469844275200.

The previous prime is 162166235004383. The next prime is 162166235004401. The reversal of 162166235004400 is 4400532661261.

162166235004400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162166235004401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83996329 + ... + 85905271.

It is an arithmetic number, because the mean of its divisors is an integer number (1816150232160).

Almost surely, 2^{162166235004400} is an apocalyptic number.

162166235004400 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 162166235004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217938027859200).

162166235004400 is an abundant number, since it is smaller than the sum of its proper divisors (273709820714000).

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

162166235004400 is a wasteful number, since it uses less digits than its factorization.

162166235004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909464 (or 1909453 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

Adding to 162166235004400 its reverse (4400532661261), we get a palindrome (166566767665661).

The spelling of 162166235004400 in words is "one hundred sixty-two trillion, one hundred sixty-six billion, two hundred thirty-five million, four thousand, four hundred".