5238210067200 has 648 divisors, whose sum is σ = 20447268791040. Its totient is φ = 1268815257600.

The previous prime is 5238210067199. The next prime is 5238210067253. The reversal of 5238210067200 is 27600128325.

5238210067200 is a `hidden beast` number, since 5 + 2 + 382 + 10 + 0 + 67 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 987779749 + ... + 987785051.

Almost surely, 2^{5238210067200} is an apocalyptic number.

5238210067200 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 5238210067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10223634395520).

5238210067200 is an abundant number, since it is smaller than the sum of its proper divisors (15209058723840).

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

5238210067200 is a wasteful number, since it uses less digits than its factorization.

5238210067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6905 (or 6883 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 5238210067200 in words is "five trillion, two hundred thirty-eight billion, two hundred ten million, sixty-seven thousand, two hundred".