528372040896000 has 6400 divisors, whose sum is σ = 2551534819891200. Its totient is φ = 105775497216000.

The previous prime is 528372040895947. The next prime is 528372040896059. The reversal of 528372040896000 is 698040273825.

528372040896000 is a `hidden beast` number, since 5 + 2 + 8 + 3 + 7 + 20 + 4 + 0 + 8 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 714982463631 + ... + 714982464369.

It is an arithmetic number, because the mean of its divisors is an integer number (398677315608).

Almost surely, 2^{528372040896000} is an apocalyptic number.

528372040896000 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 528372040896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275767409945600).

528372040896000 is an abundant number, since it is smaller than the sum of its proper divisors (2023162778995200).

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

528372040896000 is a wasteful number, since it uses less digits than its factorization.

528372040896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 528372040896000 in words is "five hundred twenty-eight trillion, three hundred seventy-two billion, forty million, eight hundred ninety-six thousand".