5656289771520 has 1792 divisors, whose sum is σ = 22279718995200. Its totient is φ = 1373393387520.

The previous prime is 5656289771437. The next prime is 5656289771527. The reversal of 5656289771520 is 251779826565.

5656289771520 is a `hidden beast` number, since 56 + 56 + 2 + 8 + 9 + 7 + 7 + 1 + 520 = 666.

It is a super-2 number, since 2×5656289771520² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5656289771527) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 79666053085 + ... + 79666053155.

Almost surely, 2^{5656289771520} 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 5656289771520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11139859497600).

5656289771520 is an abundant number, since it is smaller than the sum of its proper divisors (16623429223680).

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

5656289771520 is an frugal number, since it uses more digits than its factorization.

5656289771520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 5656289771520 in words is "five trillion, six hundred fifty-six billion, two hundred eighty-nine million, seven hundred seventy-one thousand, five hundred twenty".