20190643200 has 1320 divisors, whose sum is σ = 92876680512. Its totient is φ = 4220190720.

The previous prime is 20190643199. The next prime is 20190643229. The reversal of 20190643200 is 234609102.

20190643200 is a `hidden beast` number, since 2 + 0 + 19 + 0 + 643 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 119 ways as a sum of consecutive naturals, for example, 188697547 + ... + 188697653.

Almost surely, 2^20190643200 is an apocalyptic number.

20190643200 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 20190643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46438340256).

20190643200 is an abundant number, since it is smaller than the sum of its proper divisors (72686037312).

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

20190643200 is a wasteful number, since it uses less digits than its factorization.

20190643200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 20190643200 in words is "twenty billion, one hundred ninety million, six hundred forty-three thousand, two hundred".