5381619840 has 192 divisors, whose sum is σ = 19183507200. Its totient is φ = 1388759040.

The previous prime is 5381619839. The next prime is 5381619853. The reversal of 5381619840 is 489161835.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 163491 + ... + 193629.

It is an arithmetic number, because the mean of its divisors is an integer number (99914100).

Almost surely, 2^5381619840 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 5381619840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9591753600).

5381619840 is an abundant number, since it is smaller than the sum of its proper divisors (13801887360).

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

5381619840 is a wasteful number, since it uses less digits than its factorization.

5381619840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30195 (or 30180 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 5381619840 is about 73359.5245349914. The cubic root of 5381619840 is about 1752.4178649244.

The spelling of 5381619840 in words is "five billion, three hundred eighty-one million, six hundred nineteen thousand, eight hundred forty".