5381167820544 has 720 divisors, whose sum is σ = 17496768199680. Its totient is φ = 1639335075840.

The previous prime is 5381167820533. The next prime is 5381167820597. The reversal of 5381167820544 is 4450287611835.

It is a happy number.

5381167820544 is a `hidden beast` number, since 5 + 3 + 8 + 1 + 1 + 6 + 78 + 20 + 544 = 666.

It is a super-2 number, since 2×5381167820544² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1314722562 + ... + 1314726654.

It is an arithmetic number, because the mean of its divisors is an integer number (24301066944).

Almost surely, 2^{5381167820544} is an apocalyptic number.

5381167820544 is a gapful number since it is divisible by the number (54) 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 5381167820544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8748384099840).

5381167820544 is an abundant number, since it is smaller than the sum of its proper divisors (12115600379136).

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

5381167820544 is a wasteful number, since it uses less digits than its factorization.

5381167820544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4258 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 5381167820544 in words is "five trillion, three hundred eighty-one billion, one hundred sixty-seven million, eight hundred twenty thousand, five hundred forty-four".