528729951131200 has 1344 divisors, whose sum is σ = 1757140815790080. Its totient is φ = 151892029440000.

The previous prime is 528729951131141. The next prime is 528729951131203. The reversal of 528729951131200 is 2131159927825.

It is a super-2 number, since 2×528729951131200² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (528729951131203) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8661567879 + ... + 8661628921.

It is an arithmetic number, because the mean of its divisors is an integer number (1307396440320).

Almost surely, 2^{528729951131200} is an apocalyptic number.

528729951131200 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 528729951131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878570407895040).

528729951131200 is an abundant number, since it is smaller than the sum of its proper divisors (1228410864658880).

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

528729951131200 is a wasteful number, since it uses less digits than its factorization.

528729951131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61236 (or 61221 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 55.

The spelling of 528729951131200 in words is "five hundred twenty-eight trillion, seven hundred twenty-nine billion, nine hundred fifty-one million, one hundred thirty-one thousand, two hundred".