5787683578000 has 40 divisors (see below), whose sum is σ = 13994618896440. Its totient is φ = 2315073430400.

The previous prime is 5787683577953. The next prime is 5787683578007. The reversal of 5787683578000 is 8753867875.

It can be written as a sum of positive squares in 4 ways, for example, as 1402462273536 + 4385221304464 = 1184256^2 + 2094092^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (5787683578007) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1446918895 + ... + 1446922894.

It is an arithmetic number, because the mean of its divisors is an integer number (349865472411).

Almost surely, 2^{5787683578000} is an apocalyptic number.

5787683578000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5787683578000 is an abundant number, since it is smaller than the sum of its proper divisors (8206935318440).

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

5787683578000 is a wasteful number, since it uses less digits than its factorization.

5787683578000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893841812 (or 2893841796 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 64.

The spelling of 5787683578000 in words is "five trillion, seven hundred eighty-seven billion, six hundred eighty-three million, five hundred seventy-eight thousand".