162162432000 has 768 divisors, whose sum is σ = 620933040000. Its totient is φ = 41700556800.

The previous prime is 162162431993. The next prime is 162162432031. The reversal of 162162432000 is 234261261.

162162432000 is a `hidden beast` number, since 1 + 6 + 2 + 1 + 624 + 32 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200447596 + ... + 200448404.

Almost surely, 2^162162432000 is an apocalyptic number.

162162432000 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 162162432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310466520000).

162162432000 is an abundant number, since it is smaller than the sum of its proper divisors (458770608000).

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

162162432000 is an equidigital number, since it uses as much as digits as its factorization.

162162432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 162162432000 its reverse (234261261), we get a palindrome (162396693261).

The spelling of 162162432000 in words is "one hundred sixty-two billion, one hundred sixty-two million, four hundred thirty-two thousand".