5200053131040 has 384 divisors, whose sum is σ = 17020430622720. Its totient is φ = 1333554278400.

The previous prime is 5200053131027. The next prime is 5200053131071. The reversal of 5200053131040 is 401313500025.

It is a super-2 number, since 2×5200053131040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5200053131040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2585803635 + ... + 2585805645.

It is an arithmetic number, because the mean of its divisors is an integer number (44324038080).

Almost surely, 2^{5200053131040} 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 5200053131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8510215311360).

5200053131040 is an abundant number, since it is smaller than the sum of its proper divisors (11820377491680).

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

5200053131040 is a wasteful number, since it uses less digits than its factorization.

5200053131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4016 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 5200053131040 its reverse (401313500025), we get a palindrome (5601366631065).

The spelling of 5200053131040 in words is "five trillion, two hundred billion, fifty-three million, one hundred thirty-one thousand, forty".