528661998000 has 320 divisors, whose sum is σ = 1897507123200. Its totient is φ = 140699462400.

The previous prime is 528661997933. The next prime is 528661998017. The reversal of 528661998000 is 899166825.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 28232641 + ... + 28251359.

It is an arithmetic number, because the mean of its divisors is an integer number (5929709760).

Almost surely, 2^528661998000 is an apocalyptic number.

528661998000 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 528661998000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948753561600).

528661998000 is an abundant number, since it is smaller than the sum of its proper divisors (1368845125200).

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

528661998000 is a wasteful number, since it uses less digits than its factorization.

528661998000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19274 (or 19252 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 528661998000 in words is "five hundred twenty-eight billion, six hundred sixty-one million, nine hundred ninety-eight thousand".