5210124201344 has 64 divisors (see below), whose sum is σ = 10723096310400. Its totient is φ = 2518974197760.

The previous prime is 5210124201341. The next prime is 5210124201367. The reversal of 5210124201344 is 4431024210125.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5210124201341) 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 7 ways as a sum of consecutive naturals, for example, 4342484 + ... + 5410860.

It is an arithmetic number, because the mean of its divisors is an integer number (167548379850).

Almost surely, 2^{5210124201344} 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 5210124201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5361548155200).

5210124201344 is an abundant number, since it is smaller than the sum of its proper divisors (5512972109056).

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

5210124201344 is a wasteful number, since it uses less digits than its factorization.

5210124201344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069651 (or 1069639 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 5210124201344 its reverse (4431024210125), we get a palindrome (9641148411469).

The spelling of 5210124201344 in words is "five trillion, two hundred ten billion, one hundred twenty-four million, two hundred one thousand, three hundred forty-four".