5144887449600 has 576 divisors, whose sum is σ = 17325291110400. Its totient is φ = 1346638970880.

The previous prime is 5144887449557. The next prime is 5144887449613. The reversal of 5144887449600 is 69447884415.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1892197041 + ... + 1892199759.

It is an arithmetic number, because the mean of its divisors is an integer number (30078630400).

Almost surely, 2^{5144887449600} is an apocalyptic number.

5144887449600 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 5144887449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8662645555200).

5144887449600 is an abundant number, since it is smaller than the sum of its proper divisors (12180403660800).

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

5144887449600 is a wasteful number, since it uses less digits than its factorization.

5144887449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2978 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 60.

The spelling of 5144887449600 in words is "five trillion, one hundred forty-four billion, eight hundred eighty-seven million, four hundred forty-nine thousand, six hundred".