5688012360960 has 576 divisors, whose sum is σ = 20531631375360. Its totient is φ = 1490823290880.

The previous prime is 5688012360929. The next prime is 5688012360973. The reversal of 5688012360960 is 690632108865.

It is a happy number.

5688012360960 is a `hidden beast` number, since 5 + 6 + 8 + 8 + 0 + 1 + 23 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 5688012360897 and 5688012360906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1136917819 + ... + 1136922821.

It is an arithmetic number, because the mean of its divisors is an integer number (35645193360).

Almost surely, 2^{5688012360960} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5688012360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10265815687680).

5688012360960 is an abundant number, since it is smaller than the sum of its proper divisors (14843619014400).

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

5688012360960 is a wasteful number, since it uses less digits than its factorization.

5688012360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5591 (or 5571 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 5688012360960 in words is "five trillion, six hundred eighty-eight billion, twelve million, three hundred sixty thousand, nine hundred sixty".