528024420000 has 2880 divisors, whose sum is σ = 2599656643584. Its totient is φ = 102021120000.

The previous prime is 528024419999. The next prime is 528024420029. The reversal of 528024420000 is 24420825.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 6361739959 + ... + 6361740041.

Almost surely, 2^528024420000 is an apocalyptic number.

528024420000 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 528024420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299828321792).

528024420000 is an abundant number, since it is smaller than the sum of its proper divisors (2071632223584).

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

528024420000 is a wasteful number, since it uses less digits than its factorization.

528024420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 528024420000 its reverse (24420825), we get a palindrome (528048840825).

The spelling of 528024420000 in words is "five hundred twenty-eight billion, twenty-four million, four hundred twenty thousand".