5381920759680 has 192 divisors, whose sum is σ = 18602883889200. Its totient is φ = 1433754943488.

The previous prime is 5381920759637. The next prime is 5381920759703. The reversal of 5381920759680 is 869570291835.

5381920759680 is a `hidden beast` number, since 5 + 3 + 8 + 19 + 20 + 7 + 596 + 8 + 0 = 666.

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

It is a congruent number.

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, 5348827 + ... + 6274853.

Almost surely, 2^{5381920759680} 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 5381920759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9301441944600).

5381920759680 is an abundant number, since it is smaller than the sum of its proper divisors (13220963129520).

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

5381920759680 is a wasteful number, since it uses less digits than its factorization.

5381920759680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927061 (or 927046 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 5381920759680 in words is "five trillion, three hundred eighty-one billion, nine hundred twenty million, seven hundred fifty-nine thousand, six hundred eighty".