5386538880 has 320 divisors, whose sum is σ = 19905177600. Its totient is φ = 1386491904.

The previous prime is 5386538873. The next prime is 5386538881. The reversal of 5386538880 is 888356835.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×5386538880² = 58029602211503308800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5386538881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1501569 + ... + 1505151.

It is an arithmetic number, because the mean of its divisors is an integer number (62203680).

Almost surely, 2^5386538880 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 5386538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9952588800).

5386538880 is an abundant number, since it is smaller than the sum of its proper divisors (14518638720).

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

5386538880 is a wasteful number, since it uses less digits than its factorization.

5386538880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The square root of 5386538880 is about 73393.0438120671. The cubic root of 5386538880 is about 1752.9516316306.

The spelling of 5386538880 in words is "five billion, three hundred eighty-six million, five hundred thirty-eight thousand, eight hundred eighty".