5384185920 has 168 divisors, whose sum is σ = 19324783296. Its totient is φ = 1373340672.

The previous prime is 5384185901. The next prime is 5384185973. The reversal of 5384185920 is 295814835.

5384185920 is a `hidden beast` number, since 5 + 384 + 185 + 92 + 0 = 666.

It is a super-2 number, since 2×5384185920² = 57978916042252492800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25599 + ... + 106881.

It is an arithmetic number, because the mean of its divisors is an integer number (115028472).

Almost surely, 2^5384185920 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 5384185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9662391648).

5384185920 is an abundant number, since it is smaller than the sum of its proper divisors (13940597376).

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

5384185920 is a wasteful number, since it uses less digits than its factorization.

5384185920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81329 (or 81316 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5384185920 is about 73377.0122040956. The cubic root of 5384185920 is about 1752.6963517013.

The spelling of 5384185920 in words is "five billion, three hundred eighty-four million, one hundred eighty-five thousand, nine hundred twenty".