20187609449800 has 192 divisors, whose sum is σ = 50774772706560. Its totient is φ = 7420294656000.

The previous prime is 20187609449779. The next prime is 20187609449801. The reversal of 20187609449800 is 894490678102.

It is not an unprimeable number, because it can be changed into a prime (20187609449801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 909627504 + ... + 909649696.

It is an arithmetic number, because the mean of its divisors is an integer number (264451941180).

Almost surely, 2^{20187609449800} is an apocalyptic number.

20187609449800 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 20187609449800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25387386353280).

20187609449800 is an abundant number, since it is smaller than the sum of its proper divisors (30587163256760).

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

20187609449800 is a wasteful number, since it uses less digits than its factorization.

20187609449800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23784 (or 23775 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 58.

The spelling of 20187609449800 in words is "twenty trillion, one hundred eighty-seven billion, six hundred nine million, four hundred forty-nine thousand, eight hundred".