20164813200 has 540 divisors, whose sum is σ = 82489779840. Its totient is φ = 4547612160.

The previous prime is 20164813171. The next prime is 20164813241. The reversal of 20164813200 is 231846102.

20164813200 is a `hidden beast` number, since 2 + 0 + 1 + 648 + 13 + 2 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13934877 + ... + 13936323.

Almost surely, 2^20164813200 is an apocalyptic number.

20164813200 is a gapful number since it is divisible by the number (20) 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 20164813200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41244889920).

20164813200 is an abundant number, since it is smaller than the sum of its proper divisors (62324966640).

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

20164813200 is a wasteful number, since it uses less digits than its factorization.

20164813200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 20164813200 in words is "twenty billion, one hundred sixty-four million, eight hundred thirteen thousand, two hundred".