163820880000 has 840 divisors, whose sum is σ = 623207576145. Its totient is φ = 42861312000.

The previous prime is 163820879983. The next prime is 163820880071. The reversal of 163820880000 is 88028361.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 494973504 + 163325906496 = 22248^2 + 404136^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=286200.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 3090959974 + ... + 3090960026.

Almost surely, 2^163820880000 is an apocalyptic number.

163820880000 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 163820880000

163820880000 is an abundant number, since it is smaller than the sum of its proper divisors (459386696145).

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

163820880000 is an frugal number, since it uses more digits than its factorization.

163820880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 163820880000 in words is "one hundred sixty-three billion, eight hundred twenty million, eight hundred eighty thousand".