5385493120 has 128 divisors (see below), whose sum is σ = 15027586560. Its totient is φ = 1807097856.

The previous prime is 5385493117. The next prime is 5385493129. The reversal of 5385493120 is 213945835.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×5385493120² = 58007072291134668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5385493129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197772 + ... + 223348.

It is an arithmetic number, because the mean of its divisors is an integer number (117403020).

Almost surely, 2^5385493120 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 5385493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7513793280).

5385493120 is an abundant number, since it is smaller than the sum of its proper divisors (9642093440).

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

5385493120 is a wasteful number, since it uses less digits than its factorization.

5385493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25650 (or 25638 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 5385493120 is about 73385.9190853395. The cubic root of 5385493120 is about 1752.8381830641.

The spelling of 5385493120 in words is "five billion, three hundred eighty-five million, four hundred ninety-three thousand, one hundred twenty".