1992420218880 has 2016 divisors, whose sum is σ = 9000725151600. Its totient is φ = 419375480832.

The previous prime is 1992420218843. The next prime is 1992420218917. The reversal of 1992420218880 is 888120242991.

1992420218880 is a `hidden beast` number, since 199 + 2 + 420 + 21 + 8 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1992420218843) and next prime (1992420218917).

It is a tau number, because it is divible by the number of its divisors (2016).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4755179311 + ... + 4755179729.

Almost surely, 2^{1992420218880} is an apocalyptic number.

1992420218880 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 1992420218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500362575800).

1992420218880 is an abundant number, since it is smaller than the sum of its proper divisors (7008304932720).

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

1992420218880 is an equidigital number, since it uses as much as digits as its factorization.

1992420218880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 1992420218880 in words is "one trillion, nine hundred ninety-two billion, four hundred twenty million, two hundred eighteen thousand, eight hundred eighty".