5381769600000 has 1056 divisors, whose sum is σ = 20193641899200. Its totient is φ = 1433272320000.

The previous prime is 5381769599989. The next prime is 5381769600013. The reversal of 5381769600000 is 69671835.

It is a happy number.

5381769600000 is a `hidden beast` number, since 5 + 38 + 1 + 7 + 6 + 9 + 600 + 0 + 0 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6998399616 + ... + 6998400384.

It is an arithmetic number, because the mean of its divisors is an integer number (19122766950).

Almost surely, 2^{5381769600000} is an apocalyptic number.

5381769600000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5381769600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10096820949600).

5381769600000 is an abundant number, since it is smaller than the sum of its proper divisors (14811872299200).

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

5381769600000 is an frugal number, since it uses more digits than its factorization.

5381769600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 5381769600000 in words is "five trillion, three hundred eighty-one billion, seven hundred sixty-nine million, six hundred thousand".