5378438520 has 576 divisors, whose sum is σ = 22055042880. Its totient is φ = 1112776704.

The previous prime is 5378438459. The next prime is 5378438531. The reversal of 5378438520 is 258348735.

5378438520 is a `hidden beast` number, since 53 + 78 + 4 + 3 + 8 + 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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31089154 + ... + 31089326.

It is an arithmetic number, because the mean of its divisors is an integer number (38290005).

Almost surely, 2^5378438520 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 5378438520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11027521440).

5378438520 is an abundant number, since it is smaller than the sum of its proper divisors (16676604360).

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

5378438520 is a wasteful number, since it uses less digits than its factorization.

5378438520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5378438520 is about 73337.8382555690. The cubic root of 5378438520 is about 1752.0724855855.

The spelling of 5378438520 in words is "five billion, three hundred seventy-eight million, four hundred thirty-eight thousand, five hundred twenty".