5687109792000 has 4608 divisors, whose sum is σ = 28113090969600. Its totient is φ = 1112577638400.

The previous prime is 5687109791969. The next prime is 5687109792029. The reversal of 5687109792000 is 2979017865.

5687109792000 is a `hidden beast` number, since 568 + 7 + 1 + 0 + 9 + 79 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 511 ways as a sum of consecutive naturals, for example, 121002335977 + ... + 121002336023.

It is an arithmetic number, because the mean of its divisors is an integer number (6100931200).

Almost surely, 2^{5687109792000} is an apocalyptic number.

5687109792000 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 5687109792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14056545484800).

5687109792000 is an abundant number, since it is smaller than the sum of its proper divisors (22425981177600).

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

5687109792000 is an equidigital number, since it uses as much as digits as its factorization.

5687109792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 5687109792000 in words is "five trillion, six hundred eighty-seven billion, one hundred nine million, seven hundred ninety-two thousand".