162225591091200 has 6120 divisors, whose sum is σ = 800362506802320. Its totient is φ = 32105299968000.

The previous prime is 162225591091177. The next prime is 162225591091229. The reversal of 162225591091200 is 2190195522261.

162225591091200 is a `hidden beast` number, since 1 + 6 + 2 + 2 + 2 + 559 + 1 + 0 + 91 + 2 + 0 + 0 = 666.

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 359 ways as a sum of consecutive naturals, for example, 1606193971150 + ... + 1606193971250.

It is an arithmetic number, because the mean of its divisors is an integer number (130778187386).

Almost surely, 2^{162225591091200} is an apocalyptic number.

162225591091200 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 162225591091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400181253401160).

162225591091200 is an abundant number, since it is smaller than the sum of its proper divisors (638136915711120).

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

162225591091200 is a wasteful number, since it uses less digits than its factorization.

162225591091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 162225591091200 in words is "one hundred sixty-two trillion, two hundred twenty-five billion, five hundred ninety-one million, ninety-one thousand, two hundred".