20219284008000 has 2688 divisors, whose sum is σ = 94451727532032. Its totient is φ = 4006195200000.

The previous prime is 20219284007977. The next prime is 20219284008019. The reversal of 20219284008000 is 80048291202.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12202343172 + ... + 12202344828.

Almost surely, 2^{20219284008000} is an apocalyptic number.

20219284008000 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 20219284008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47225863766016).

20219284008000 is an abundant number, since it is smaller than the sum of its proper divisors (74232443524032).

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

20219284008000 is a wasteful number, since it uses less digits than its factorization.

20219284008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 20219284008000 in words is "twenty trillion, two hundred nineteen billion, two hundred eighty-four million, eight thousand".