5773819968000 has 2560 divisors, whose sum is σ = 25326538997760. Its totient is φ = 1285466112000.

The previous prime is 5773819967999. The next prime is 5773819968073. The reversal of 5773819968000 is 8699183775.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 69564095959 + ... + 69564096041.

It is an arithmetic number, because the mean of its divisors is an integer number (9893179296).

Almost surely, 2^{5773819968000} is an apocalyptic number.

5773819968000 is a gapful number since it is divisible by the number (50) 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 5773819968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12663269498880).

5773819968000 is an abundant number, since it is smaller than the sum of its proper divisors (19552719029760).

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

5773819968000 is an frugal number, since it uses more digits than its factorization.

5773819968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 5773819968000 in words is "five trillion, seven hundred seventy-three billion, eight hundred nineteen million, nine hundred sixty-eight thousand".