5775024124800 has 2304 divisors, whose sum is σ = 25746066432000. Its totient is φ = 1258990387200.

The previous prime is 5775024124799. The next prime is 5775024124801. The reversal of 5775024124800 is 84214205775.

5775024124800 is a `hidden beast` number, since 5 + 7 + 7 + 502 + 41 + 24 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5775024124799) and next prime (5775024124801).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5775024124801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10368086122 + ... + 10368086678.

It is an arithmetic number, because the mean of its divisors is an integer number (11174508000).

Almost surely, 2^{5775024124800} is an apocalyptic number.

5775024124800 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 5775024124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12873033216000).

5775024124800 is an abundant number, since it is smaller than the sum of its proper divisors (19971042307200).

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

5775024124800 is a wasteful number, since it uses less digits than its factorization.

5775024124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 5775024124800 in words is "five trillion, seven hundred seventy-five billion, twenty-four million, one hundred twenty-four thousand, eight hundred".