852285227040 has 1920 divisors, whose sum is σ = 3673559070720. Its totient is φ = 183936614400.

The previous prime is 852285227039. The next prime is 852285227113. The reversal of 852285227040 is 40722582258.

852285227040 is a `hidden beast` number, since 8 + 52 + 2 + 8 + 522 + 70 + 4 + 0 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2574879675 + ... + 2574880005.

It is an arithmetic number, because the mean of its divisors is an integer number (1913312016).

Almost surely, 2^852285227040 is an apocalyptic number.

852285227040 is a gapful number since it is divisible by the number (80) 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 852285227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836779535360).

852285227040 is an abundant number, since it is smaller than the sum of its proper divisors (2821273843680).

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

852285227040 is a wasteful number, since it uses less digits than its factorization.

852285227040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 852285227040 in words is "eight hundred fifty-two billion, two hundred eighty-five million, two hundred twenty-seven thousand, forty".