5778416280800 has 288 divisors, whose sum is σ = 14427809061120. Its totient is φ = 2259370803200.

The previous prime is 5778416280773. The next prime is 5778416280817. The reversal of 5778416280800 is 80826148775.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4748081792 + ... + 4748083008.

It is an arithmetic number, because the mean of its divisors is an integer number (50096559240).

Almost surely, 2^{5778416280800} is an apocalyptic number.

5778416280800 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 5778416280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7213904530560).

5778416280800 is an abundant number, since it is smaller than the sum of its proper divisors (8649392780320).

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

5778416280800 is a wasteful number, since it uses less digits than its factorization.

5778416280800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 56.

The spelling of 5778416280800 in words is "five trillion, seven hundred seventy-eight billion, four hundred sixteen million, two hundred eighty thousand, eight hundred".