5212242529200 has 2400 divisors, whose sum is σ = 22986800179200. Its totient is φ = 1105590435840.

The previous prime is 5212242529183. The next prime is 5212242529213. The reversal of 5212242529200 is 29252422125.

5212242529200 is a `hidden beast` number, since 5 + 2 + 1 + 2 + 2 + 425 + 29 + 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 47818738746 + ... + 47818738854.

It is an arithmetic number, because the mean of its divisors is an integer number (9577833408).

Almost surely, 2^{5212242529200} is an apocalyptic number.

5212242529200 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 5212242529200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11493400089600).

5212242529200 is an abundant number, since it is smaller than the sum of its proper divisors (17774557650000).

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

5212242529200 is a wasteful number, since it uses less digits than its factorization.

5212242529200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 5212242529200 in words is "five trillion, two hundred twelve billion, two hundred forty-two million, five hundred twenty-nine thousand, two hundred".