19820324160 has 672 divisors, whose sum is σ = 87044735232. Its totient is φ = 4180377600.

The previous prime is 19820324159. The next prime is 19820324179. The reversal of 19820324160 is 6142302891.

19820324160 is a `hidden beast` number, since 198 + 20 + 32 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7074760 + ... + 7077560.

It is an arithmetic number, because the mean of its divisors is an integer number (129530856).

Almost surely, 2^19820324160 is an apocalyptic number.

19820324160 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 19820324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43522367616).

19820324160 is an abundant number, since it is smaller than the sum of its proper divisors (67224411072).

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

19820324160 is a wasteful number, since it uses less digits than its factorization.

19820324160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 19820324160 in words is "nineteen billion, eight hundred twenty million, three hundred twenty-four thousand, one hundred sixty".