19986220800 has 1728 divisors, whose sum is σ = 95380561920. Its totient is φ = 3981312000.

The previous prime is 19986220789. The next prime is 19986220811. The reversal of 19986220800 is 802268991.

19986220800 is a `hidden beast` number, since 19 + 9 + 8 + 622 + 0 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (19986220789) and next prime (19986220811).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 487468780 + ... + 487468820.

Almost surely, 2^19986220800 is an apocalyptic number.

19986220800 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 19986220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47690280960).

19986220800 is an abundant number, since it is smaller than the sum of its proper divisors (75394341120).

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

19986220800 is a wasteful number, since it uses less digits than its factorization.

19986220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 19986220800 in words is "nineteen billion, nine hundred eighty-six million, two hundred twenty thousand, eight hundred".