5538395520 has 768 divisors, whose sum is σ = 23665305600. Its totient is φ = 1219276800.

The previous prime is 5538395501. The next prime is 5538395521. The reversal of 5538395520 is 255938355.

5538395520 is a `hidden beast` number, since 5 + 5 + 38 + 3 + 95 + 520 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5538395521) 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 95 ways as a sum of consecutive naturals, for example, 26248215 + ... + 26248425.

It is an arithmetic number, because the mean of its divisors is an integer number (30814200).

Almost surely, 2^5538395520 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 5538395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11832652800).

5538395520 is an abundant number, since it is smaller than the sum of its proper divisors (18126910080).

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

5538395520 is a wasteful number, since it uses less digits than its factorization.

5538395520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The square root of 5538395520 is about 74420.3972039924. The cubic root of 5538395520 is about 1769.2722086867.

The spelling of 5538395520 in words is "five billion, five hundred thirty-eight million, three hundred ninety-five thousand, five hundred twenty".