5687745505920 has 320 divisors, whose sum is σ = 20424220656840. Its totient is φ = 1508349911040.

The previous prime is 5687745505903. The next prime is 5687745505921. The reversal of 5687745505920 is 295055477865.

5687745505920 is a `hidden beast` number, since 5 + 6 + 8 + 7 + 7 + 4 + 550 + 59 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3620982740544 + 2066762765376 = 1902888^2 + 1437624^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×5687745505920² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5687745505921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9079954 + ... + 9686126.

Almost surely, 2^{5687745505920} 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 5687745505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10212110328420).

5687745505920 is an abundant number, since it is smaller than the sum of its proper divisors (14736475150920).

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

5687745505920 is a wasteful number, since it uses less digits than its factorization.

5687745505920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606385 (or 606364 counting only the distinct ones).

The product of its (nonzero) digits is 105840000, while the sum is 63.

The spelling of 5687745505920 in words is "five trillion, six hundred eighty-seven billion, seven hundred forty-five million, five hundred five thousand, nine hundred twenty".