85613778576 has 80 divisors (see below), whose sum is σ = 246185136000. Its totient is φ = 28486611072.

The previous prime is 85613778571. The next prime is 85613778599. The reversal of 85613778576 is 67587731658.

85613778576 is a `hidden beast` number, since 8 + 5 + 613 + 7 + 7 + 8 + 5 + 7 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (85613778571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62725 + ... + 418523.

It is an arithmetic number, because the mean of its divisors is an integer number (3077314200).

Almost surely, 2^85613778576 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 85613778576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123092568000).

85613778576 is an abundant number, since it is smaller than the sum of its proper divisors (160571357424).

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

85613778576 is a wasteful number, since it uses less digits than its factorization.

85613778576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356373 (or 356361 counting only the distinct ones).

The product of its digits is 59270400, while the sum is 63.

The spelling of 85613778576 in words is "eighty-five billion, six hundred thirteen million, seven hundred seventy-eight thousand, five hundred seventy-six".