5144511751680 has 640 divisors, whose sum is σ = 19210113331200. Its totient is φ = 1150248812544.

The previous prime is 5144511751663. The next prime is 5144511751681. The reversal of 5144511751680 is 861571154415.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5144511751681) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 462921804 + ... + 462932916.

It is an arithmetic number, because the mean of its divisors is an integer number (30015802080).

Almost surely, 2^{5144511751680} 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 5144511751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9605056665600).

5144511751680 is an abundant number, since it is smaller than the sum of its proper divisors (14065601579520).

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

5144511751680 is a wasteful number, since it uses less digits than its factorization.

5144511751680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11334 (or 11318 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 48.

The spelling of 5144511751680 in words is "five trillion, one hundred forty-four billion, five hundred eleven million, seven hundred fifty-one thousand, six hundred eighty".