5144061260800 has 528 divisors, whose sum is σ = 16285401417600. Its totient is φ = 1564213248000.

The previous prime is 5144061260717. The next prime is 5144061260803. The reversal of 5144061260800 is 80621604415.

It is a super-2 number, since 2×5144061260800² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5144061260800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5144061260803) 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 47 ways as a sum of consecutive naturals, for example, 80787376 + ... + 80851024.

Almost surely, 2^{5144061260800} is an apocalyptic number.

5144061260800 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 5144061260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8142700708800).

5144061260800 is an abundant number, since it is smaller than the sum of its proper divisors (11141340156800).

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

5144061260800 is a wasteful number, since it uses less digits than its factorization.

5144061260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63738 (or 63715 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 5144061260800 in words is "five trillion, one hundred forty-four billion, sixty-one million, two hundred sixty thousand, eight hundred".