1992884784800 has 288 divisors, whose sum is σ = 6003734486400. Its totient is φ = 629042319360.

The previous prime is 1992884784727. The next prime is 1992884784871. The reversal of 1992884784800 is 84874882991.

It is a super-2 number, since 2×1992884784800² (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 27555086 + ... + 27627314.

It is an arithmetic number, because the mean of its divisors is an integer number (20846300300).

Almost surely, 2^{1992884784800} is an apocalyptic number.

1992884784800 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 1992884784800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001867243200).

1992884784800 is an abundant number, since it is smaller than the sum of its proper divisors (4010849701600).

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

1992884784800 is a wasteful number, since it uses less digits than its factorization.

1992884784800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72648 (or 72635 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 68.

The spelling of 1992884784800 in words is "one trillion, nine hundred ninety-two billion, eight hundred eighty-four million, seven hundred eighty-four thousand, eight hundred".