5144329625760 has 768 divisors, whose sum is σ = 20200029696000. Its totient is φ = 1214160814080.

The previous prime is 5144329625759. The next prime is 5144329625843. The reversal of 5144329625760 is 675269234415.

It is a happy number.

5144329625760 is a `hidden beast` number, since 5 + 1 + 4 + 4 + 3 + 2 + 9 + 62 + 576 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5144329625697 and 5144329625706.

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 127 ways as a sum of consecutive naturals, for example, 189751086 + ... + 189778194.

It is an arithmetic number, because the mean of its divisors is an integer number (26302122000).

Almost surely, 2^{5144329625760} 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 5144329625760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10100014848000).

5144329625760 is an abundant number, since it is smaller than the sum of its proper divisors (15055700070240).

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

5144329625760 is a wasteful number, since it uses less digits than its factorization.

5144329625760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27286 (or 27272 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 5144329625760 in words is "five trillion, one hundred forty-four billion, three hundred twenty-nine million, six hundred twenty-five thousand, seven hundred sixty".