5781283200 has 1152 divisors, whose sum is σ = 26914944000. Its totient is φ = 1186099200.

The previous prime is 5781283181. The next prime is 5781283219. The reversal of 5781283200 is 23821875.

5781283200 is a `hidden beast` number, since 578 + 1 + 2 + 83 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5781283181) and next prime (5781283219).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 73180761 + ... + 73180839.

Almost surely, 2^5781283200 is an apocalyptic number.

5781283200 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 5781283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13457472000).

5781283200 is an abundant number, since it is smaller than the sum of its proper divisors (21133660800).

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

5781283200 is a wasteful number, since it uses less digits than its factorization.

5781283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5781283200 is about 76034.7499502694. The cubic root of 5781283200 is about 1794.7670236084.

The spelling of 5781283200 in words is "five billion, seven hundred eighty-one million, two hundred eighty-three thousand, two hundred".