1920361996800 has 2400 divisors, whose sum is σ = 8412837325200. Its totient is φ = 429557022720.

The previous prime is 1920361996769. The next prime is 1920361996807. The reversal of 1920361996800 is 86991630291.

1920361996800 is a `hidden beast` number, since 19 + 2 + 0 + 3 + 619 + 9 + 6 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 141147484416 + 1779214512384 = 375696^2 + 1333872^2 .

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is not an unprimeable number, because it can be changed into a prime (1920361996807) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 66219379186 + ... + 66219379214.

Almost surely, 2^{1920361996800} is an apocalyptic number.

1920361996800 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 1920361996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206418662600).

1920361996800 is an abundant number, since it is smaller than the sum of its proper divisors (6492475328400).

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

1920361996800 is an equidigital number, since it uses as much as digits as its factorization.

1920361996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 1920361996800 in words is "one trillion, nine hundred twenty billion, three hundred sixty-one million, nine hundred ninety-six thousand, eight hundred".