22528542528000 has 1280 divisors, whose sum is σ = 88728374592000. Its totient is φ = 5615183462400.

The previous prime is 22528542527999. The next prime is 22528542528047. The reversal of 22528542528000 is 82524582522.

It is a happy number.

22528542528000 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 85 + 42 + 528 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4377021427 + ... + 4377026573.

It is an arithmetic number, because the mean of its divisors is an integer number (69319042650).

Almost surely, 2^{22528542528000} is an apocalyptic number.

22528542528000 is a gapful number since it is divisible by the number (20) 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 22528542528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44364187296000).

22528542528000 is an abundant number, since it is smaller than the sum of its proper divisors (66199832064000).

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

22528542528000 is a wasteful number, since it uses less digits than its factorization.

22528542528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5355 (or 5323 counting only the distinct ones).

The product of its (nonzero) digits is 1024000, while the sum is 45.

The spelling of 22528542528000 in words is "twenty-two trillion, five hundred twenty-eight billion, five hundred forty-two million, five hundred twenty-eight thousand".