5381419680 has 768 divisors, whose sum is σ = 23606553600. Its totient is φ = 1135420416.

The previous prime is 5381419661. The next prime is 5381419697. The reversal of 5381419680 is 869141835.

5381419680 is a `hidden beast` number, since 5 + 381 + 4 + 196 + 80 = 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 127 ways as a sum of consecutive naturals, for example, 413955354 + ... + 413955366.

It is an arithmetic number, because the mean of its divisors is an integer number (30737700).

Almost surely, 2^5381419680 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 5381419680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11803276800).

5381419680 is an abundant number, since it is smaller than the sum of its proper divisors (18225133920).

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

5381419680 is an frugal number, since it uses more digits than its factorization.

5381419680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 30 counting only the distinct ones).

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

The square root of 5381419680 is about 73358.1602822753. The cubic root of 5381419680 is about 1752.3961386091.

The spelling of 5381419680 in words is "five billion, three hundred eighty-one million, four hundred nineteen thousand, six hundred eighty".