5242537570200 has 384 divisors, whose sum is σ = 19083762846720. Its totient is φ = 1165406054400.

The previous prime is 5242537570129. The next prime is 5242537570229. The reversal of 5242537570200 is 20757352425.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 451120390 + ... + 451132010.

It is an arithmetic number, because the mean of its divisors is an integer number (49697299080).

Almost surely, 2^{5242537570200} is an apocalyptic number.

5242537570200 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 5242537570200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9541881423360).

5242537570200 is an abundant number, since it is smaller than the sum of its proper divisors (13841225276520).

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

5242537570200 is a wasteful number, since it uses less digits than its factorization.

5242537570200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14587 (or 14578 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 42.

The spelling of 5242537570200 in words is "five trillion, two hundred forty-two billion, five hundred thirty-seven million, five hundred seventy thousand, two hundred".