528253440000 has 1560 divisors, whose sum is σ = 2135324502432. Its totient is φ = 115015680000.

The previous prime is 528253439953. The next prime is 528253440017. The reversal of 528253440000 is 44352825.

It is a tau number, because it is divible by the number of its divisors (1560).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14277119982 + ... + 14277120018.

Almost surely, 2^528253440000 is an apocalyptic number.

528253440000 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 528253440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067662251216).

528253440000 is an abundant number, since it is smaller than the sum of its proper divisors (1607071062432).

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

528253440000 is a wasteful number, since it uses less digits than its factorization.

528253440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 528253440000 its reverse (44352825), we get a palindrome (528297792825).

The spelling of 528253440000 in words is "five hundred twenty-eight billion, two hundred fifty-three million, four hundred forty thousand".