5385938880 has 336 divisors, whose sum is σ = 20229124896. Its totient is φ = 1210245120.

The previous prime is 5385938879. The next prime is 5385938891. The reversal of 5385938880 is 888395835.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 5385938880.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2868502 + ... + 2870378.

Almost surely, 2^5385938880 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 5385938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10114562448).

5385938880 is an abundant number, since it is smaller than the sum of its proper divisors (14843186016).

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

5385938880 is a wasteful number, since it uses less digits than its factorization.

5385938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 57.

The square root of 5385938880 is about 73388.9561173887. The cubic root of 5385938880 is about 1752.8865428320.

The spelling of 5385938880 in words is "five billion, three hundred eighty-five million, nine hundred thirty-eight thousand, eight hundred eighty".