5410053005200 has 120 divisors (see below), whose sum is σ = 13026443296680. Its totient is φ = 2159233228800.

The previous prime is 5410053005191. The next prime is 5410053005219. The reversal of 5410053005200 is 25003500145.

It can be written as a sum of positive squares in 12 ways, for example, as 5302169856 + 5404750835344 = 72816^2 + 2324812^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 351819912 + ... + 351835288.

It is an arithmetic number, because the mean of its divisors is an integer number (108553694139).

Almost surely, 2^{5410053005200} is an apocalyptic number.

5410053005200 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 5410053005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6513221648340).

5410053005200 is an abundant number, since it is smaller than the sum of its proper divisors (7616390291480).

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

5410053005200 is a wasteful number, since it uses less digits than its factorization.

5410053005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17285 (or 17274 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

Adding to 5410053005200 its reverse (25003500145), we get a palindrome (5435056505345).

The spelling of 5410053005200 in words is "five trillion, four hundred ten billion, fifty-three million, five thousand, two hundred".