5200440198624 has 144 divisors (see below), whose sum is σ = 16135045565184. Its totient is φ = 1575709113600.

The previous prime is 5200440198619. The next prime is 5200440198649. The reversal of 5200440198624 is 4268910440025.

It is a happy number.

5200440198624 is a `hidden beast` number, since 5 + 2 + 0 + 0 + 4 + 4 + 0 + 19 + 8 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 5200440198624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28748139 + ... + 28928469.

It is an arithmetic number, because the mean of its divisors is an integer number (112048927536).

Almost surely, 2^{5200440198624} 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 5200440198624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8067522782592).

5200440198624 is an abundant number, since it is smaller than the sum of its proper divisors (10934605366560).

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

5200440198624 is a wasteful number, since it uses less digits than its factorization.

5200440198624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189461 (or 189450 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 5200440198624 in words is "five trillion, two hundred billion, four hundred forty million, one hundred ninety-eight thousand, six hundred twenty-four".