163005650413020 has 216 divisors, whose sum is σ = 521911493694864. Its totient is φ = 41175036965376.

The previous prime is 163005650413019. The next prime is 163005650413057. The reversal of 163005650413020 is 20314056500361.

163005650413020 is a `hidden beast` number, since 1 + 6 + 3 + 0 + 0 + 565 + 0 + 41 + 30 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 513638232 + ... + 513955488.

It is an arithmetic number, because the mean of its divisors is an integer number (2416256915254).

Almost surely, 2^{163005650413020} is an apocalyptic number.

163005650413020 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 163005650413020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260955746847432).

163005650413020 is an abundant number, since it is smaller than the sum of its proper divisors (358905843281844).

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

163005650413020 is a wasteful number, since it uses less digits than its factorization.

163005650413020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325217 (or 325193 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 163005650413020 in words is "one hundred sixty-three trillion, five billion, six hundred fifty million, four hundred thirteen thousand, twenty".