162012185382400 has 120 divisors (see below), whose sum is σ = 401422157196984. Its totient is φ = 64800949248000.

The previous prime is 162012185382389. The next prime is 162012185382457. The reversal of 162012185382400 is 4283581210261.

It is a super-2 number, since 2×162012185382400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 215727550 + ... + 216477250.

Almost surely, 2^{162012185382400} is an apocalyptic number.

162012185382400 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 162012185382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200711078598492).

162012185382400 is an abundant number, since it is smaller than the sum of its proper divisors (239409971814584).

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

162012185382400 is an equidigital number, since it uses as much as digits as its factorization.

162012185382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766612 (or 766591 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 162012185382400 in words is "one hundred sixty-two trillion, twelve billion, one hundred eighty-five million, three hundred eighty-two thousand, four hundred".