5386979520 has 504 divisors, whose sum is σ = 20980670256. Its totient is φ = 1307860992.

The previous prime is 5386979509. The next prime is 5386979527. The reversal of 5386979520 is 259796835.

5386979520 is a `hidden beast` number, since 53 + 8 + 69 + 7 + 9 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5386979527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73794204 + ... + 73794276.

It is an arithmetic number, because the mean of its divisors is an integer number (41628314).

Almost surely, 2^5386979520 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 5386979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10490335128).

5386979520 is an abundant number, since it is smaller than the sum of its proper divisors (15593690736).

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

5386979520 is an equidigital number, since it uses as much as digits as its factorization.

5386979520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The square root of 5386979520 is about 73396.0456700496. The cubic root of 5386979520 is about 1752.9994297661. Note that the first 3 decimals are identical.

It can be divided in two parts, 5386 and 979520, that added together give a triangular number (984906 = T₁₄₀₃).

The spelling of 5386979520 in words is "five billion, three hundred eighty-six million, nine hundred seventy-nine thousand, five hundred twenty".