18803822284800 has 936 divisors, whose sum is σ = 80356855344000. Its totient is φ = 4297985556480.

The previous prime is 18803822284727. The next prime is 18803822284867. The reversal of 18803822284800 is 848222830881.

18803822284800 is a `hidden beast` number, since 1 + 8 + 80 + 3 + 82 + 2 + 2 + 8 + 480 + 0 = 666.

It is a super-2 number, since 2×18803822284800² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 135405801 + ... + 135544599.

Almost surely, 2^{18803822284800} is an apocalyptic number.

18803822284800 is a gapful number since it is divisible by the number (10) 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 18803822284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40178427672000).

18803822284800 is an abundant number, since it is smaller than the sum of its proper divisors (61553033059200).

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

18803822284800 is a wasteful number, since it uses less digits than its factorization.

18803822284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138856 (or 138816 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 54.

The spelling of 18803822284800 in words is "eighteen trillion, eight hundred three billion, eight hundred twenty-two million, two hundred eighty-four thousand, eight hundred".