162400204800 has 1008 divisors, whose sum is σ = 638254071000. Its totient is φ = 40848261120.

The previous prime is 162400204793. The next prime is 162400204823. The reversal of 162400204800 is 8402004261.

162400204800 is a `hidden beast` number, since 162 + 4 + 0 + 0 + 20 + 480 + 0 = 666.

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 83 ways as a sum of consecutive naturals, for example, 709171086 + ... + 709171314.

Almost surely, 2^162400204800 is an apocalyptic number.

162400204800 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 162400204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319127035500).

162400204800 is an abundant number, since it is smaller than the sum of its proper divisors (475853866200).

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

162400204800 is an equidigital number, since it uses as much as digits as its factorization.

162400204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 162400204800 in words is "one hundred sixty-two billion, four hundred million, two hundred four thousand, eight hundred".