85245906816 has 192 divisors, whose sum is σ = 292670946000. Its totient is φ = 24355924992.

The previous prime is 85245906689. The next prime is 85245906817. The reversal of 85245906816 is 61860954258.

85245906816 is a `hidden beast` number, since 8 + 524 + 59 + 0 + 68 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85245906817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82351 + ... + 421038.

Almost surely, 2^85245906816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85245906816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146335473000).

85245906816 is an abundant number, since it is smaller than the sum of its proper divisors (207425039184).

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

85245906816 is a wasteful number, since it uses less digits than its factorization.

85245906816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503426 (or 503401 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 85245906816 in words is "eighty-five billion, two hundred forty-five million, nine hundred six thousand, eight hundred sixteen".