5388967584 has 960 divisors, whose sum is σ = 22293798912. Its totient is φ = 1231718400.

The previous prime is 5388967583. The next prime is 5388967603. The reversal of 5388967584 is 4857698835.

5388967584 is a `hidden beast` number, since 538 + 8 + 96 + 7 + 5 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5388967583) 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 159 ways as a sum of consecutive naturals, for example, 80432319 + ... + 80432385.

Almost surely, 2^5388967584 is an apocalyptic number.

5388967584 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5388967584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11146899456).

5388967584 is an abundant number, since it is smaller than the sum of its proper divisors (16904831328).

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

5388967584 is a wasteful number, since it uses less digits than its factorization.

5388967584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 134 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The square root of 5388967584 is about 73409.5878206655. The cubic root of 5388967584 is about 1753.2150513039.

The spelling of 5388967584 in words is "five billion, three hundred eighty-eight million, nine hundred sixty-seven thousand, five hundred eighty-four".