5688735252480 has 960 divisors, whose sum is σ = 24476288417280. Its totient is φ = 1223738523648.

The previous prime is 5688735252451. The next prime is 5688735252481. The reversal of 5688735252480 is 842525378865.

5688735252480 is a `hidden beast` number, since 5 + 6 + 8 + 8 + 7 + 3 + 525 + 24 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5688735252481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 263198154 + ... + 263219766.

It is an arithmetic number, because the mean of its divisors is an integer number (25496133768).

Almost surely, 2^{5688735252480} 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 5688735252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12238144208640).

5688735252480 is an abundant number, since it is smaller than the sum of its proper divisors (18787553164800).

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

5688735252480 is a wasteful number, since it uses less digits than its factorization.

5688735252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21679 (or 21647 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 63.

The spelling of 5688735252480 in words is "five trillion, six hundred eighty-eight billion, seven hundred thirty-five million, two hundred fifty-two thousand, four hundred eighty".