5794816996800 has 1008 divisors, whose sum is σ = 22644285797952. Its totient is φ = 1396865433600.

The previous prime is 5794816996741. The next prime is 5794816996919. The reversal of 5794816996800 is 86996184975.

5794816996800 is a `hidden beast` number, since 5 + 7 + 9 + 481 + 69 + 9 + 6 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2086717012 + ... + 2086719788.

It is an arithmetic number, because the mean of its divisors is an integer number (22464569244).

Almost surely, 2^{5794816996800} is an apocalyptic number.

5794816996800 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 5794816996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11322142898976).

5794816996800 is an abundant number, since it is smaller than the sum of its proper divisors (16849468801152).

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

5794816996800 is a wasteful number, since it uses less digits than its factorization.

5794816996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 5794816996800 in words is "five trillion, seven hundred ninety-four billion, eight hundred sixteen million, nine hundred ninety-six thousand, eight hundred".