5788800000000 has 1008 divisors, whose sum is σ = 21758660734560. Its totient is φ = 1520640000000.

The previous prime is 5788799999999. The next prime is 5788800000007. The reversal of 5788800000000 is 88875.

5788800000000 is a `hidden beast` number, since 578 + 8 + 80 + 0 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5788800000007) 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 71 ways as a sum of consecutive naturals, for example, 86399999967 + ... + 86400000033.

Almost surely, 2^{5788800000000} is an apocalyptic number.

5788800000000 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 5788800000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10879330367280).

5788800000000 is an abundant number, since it is smaller than the sum of its proper divisors (15969860734560).

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

5788800000000 is an frugal number, since it uses more digits than its factorization.

5788800000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

Adding to 5788800000000 its reverse (88875), we get a palindrome (5788800088875).

The spelling of 5788800000000 in words is "five trillion, seven hundred eighty-eight billion, eight hundred million", and thus it is an aban number.