1920020889600 has 900 divisors, whose sum is σ = 7760966969448. Its totient is φ = 465371136000.

The previous prime is 1920020889593. The next prime is 1920020889643. The reversal of 1920020889600 is 69880200291.

1920020889600 is a `hidden beast` number, since 19 + 2 + 0 + 0 + 20 + 8 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-3 number, since 3×1920020889600³ (a number of 38 digits) contains 333 as substring.

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 364950970 + ... + 364956230.

Almost surely, 2^{1920020889600} is an apocalyptic number.

1920020889600 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 1920020889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3880483484724).

1920020889600 is an abundant number, since it is smaller than the sum of its proper divisors (5840946079848).

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

1920020889600 is an equidigital number, since it uses as much as digits as its factorization.

1920020889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5322 (or 5282 counting only the distinct ones).

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

The spelling of 1920020889600 in words is "one trillion, nine hundred twenty billion, twenty million, eight hundred eighty-nine thousand, six hundred".