5379186171744 has 864 divisors, whose sum is σ = 20615750588160. Its totient is φ = 1348964305920.

The previous prime is 5379186171703. The next prime is 5379186171823. The reversal of 5379186171744 is 4471716819735.

It is a happy number.

5379186171744 is a `hidden beast` number, since 5 + 3 + 7 + 9 + 1 + 8 + 617 + 1 + 7 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 190987807 + ... + 191015969.

It is an arithmetic number, because the mean of its divisors is an integer number (23860822440).

Almost surely, 2^{5379186171744} is an apocalyptic number.

5379186171744 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 5379186171744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10307875294080).

5379186171744 is an abundant number, since it is smaller than the sum of its proper divisors (15236564416416).

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

5379186171744 is a wasteful number, since it uses less digits than its factorization.

5379186171744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28246 (or 28215 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 63.

The spelling of 5379186171744 in words is "five trillion, three hundred seventy-nine billion, one hundred eighty-six million, one hundred seventy-one thousand, seven hundred forty-four".