85456828900 has 243 divisors, whose sum is σ = 205314390939. Its totient is φ = 30870048000.

The previous prime is 85456828889. The next prime is 85456828901. The reversal of 85456828900 is 982865458.

It is a happy number.

The square root of 85456828900 is 292330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 35970156964 + 49486671936 = 189658^2 + 222456^2 .

It is not an unprimeable number, because it can be changed into a prime (85456828901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2084312880 + ... + 2084312920.

Almost surely, 2^85456828900 is an apocalyptic number.

85456828900 is the 292330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85456828900

85456828900 is an abundant number, since it is smaller than the sum of its proper divisors (119857562039).

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

85456828900 is a wasteful number, since it uses less digits than its factorization.

85456828900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 55.

The spelling of 85456828900 in words is "eighty-five billion, four hundred fifty-six million, eight hundred twenty-eight thousand, nine hundred".