5056609680 has 200 divisors, whose sum is σ = 17937101952. Its totient is φ = 1319659776.

The previous prime is 5056609667. The next prime is 5056609681. The reversal of 5056609680 is 869066505.

5056609680 is a `hidden beast` number, since 5 + 0 + 566 + 0 + 9 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5056609681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 296259 + ... + 312861.

Almost surely, 2^5056609680 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 5056609680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8968550976).

5056609680 is an abundant number, since it is smaller than the sum of its proper divisors (12880492272).

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

5056609680 is a wasteful number, since it uses less digits than its factorization.

5056609680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16675 (or 16660 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 5056609680 is about 71109.8423567371. The cubic root of 5056609680 is about 1716.4051564235.

The spelling of 5056609680 in words is "five billion, fifty-six million, six hundred nine thousand, six hundred eighty".