5687808000000 has 1344 divisors, whose sum is σ = 22650244448160. Its totient is φ = 1243545600000.

The previous prime is 5687807999987. The next prime is 5687808000011. The reversal of 5687808000000 is 8087865.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 247295999989 + ... + 247296000011.

Almost surely, 2^{5687808000000} is an apocalyptic number.

5687808000000 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 5687808000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11325122224080).

5687808000000 is an abundant number, since it is smaller than the sum of its proper divisors (16962436448160).

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

5687808000000 is an frugal number, since it uses more digits than its factorization.

5687808000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

Multiplying 5687808000000 by its sum of digits (42), we get a square (238887936000000 = 15456000²).

5687808000000 divided by its sum of digits (42) gives a square (135424000000 = 368000²).

The spelling of 5687808000000 in words is "five trillion, six hundred eighty-seven billion, eight hundred eight million", and thus it is an aban number.