20819389200 has 240 divisors, whose sum is σ = 69104910336. Its totient is φ = 5352307200.

The previous prime is 20819389183. The next prime is 20819389207. The reversal of 20819389200 is 298391802.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×20819389200² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20819389207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11419489 + ... + 11421311.

Almost surely, 2^20819389200 is an apocalyptic number.

20819389200 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 20819389200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34552455168).

20819389200 is an abundant number, since it is smaller than the sum of its proper divisors (48285521136).

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

20819389200 is a wasteful number, since it uses less digits than its factorization.

20819389200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 20819389200 in words is "twenty billion, eight hundred nineteen million, three hundred eighty-nine thousand, two hundred".