20054419200 has 324 divisors, whose sum is σ = 71956285128. Its totient is φ = 5328691200.

The previous prime is 20054419171. The next prime is 20054419201. The reversal of 20054419200 is 291445002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20054419201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24249187 + ... + 24250013.

Almost surely, 2^20054419200 is an apocalyptic number.

20054419200 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 20054419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35978142564).

20054419200 is an abundant number, since it is smaller than the sum of its proper divisors (51901865928).

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

20054419200 is a wasteful number, since it uses less digits than its factorization.

20054419200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 20054419200 in words is "twenty billion, fifty-four million, four hundred nineteen thousand, two hundred".