5774603788800 has 4320 divisors, whose sum is σ = 28761996257280. Its totient is φ = 1112577638400.

The previous prime is 5774603788777. The next prime is 5774603788823. The reversal of 5774603788800 is 88873064775.

It is an interprime number because it is at equal distance from previous prime (5774603788777) and next prime (5774603788823).

It is a tau number, because it is divible by the number of its divisors (4320).

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 (11) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 122863910377 + ... + 122863910423.

It is an arithmetic number, because the mean of its divisors is an integer number (6657869504).

Almost surely, 2^{5774603788800} is an apocalyptic number.

5774603788800 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 5774603788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14380998128640).

5774603788800 is an abundant number, since it is smaller than the sum of its proper divisors (22987392468480).

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

5774603788800 is an equidigital number, since it uses as much as digits as its factorization.

5774603788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 5774603788800 in words is "five trillion, seven hundred seventy-four billion, six hundred three million, seven hundred eighty-eight thousand, eight hundred".