85281773616 has 160 divisors (see below), whose sum is σ = 263829155520. Its totient is φ = 26219759616.

The previous prime is 85281773579. The next prime is 85281773639. The reversal of 85281773616 is 61637718258.

It is a happy number.

85281773616 is a `hidden beast` number, since 8 + 5 + 2 + 8 + 17 + 7 + 3 + 616 = 666.

It is a super-2 number, since 2×85281773616² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8042430 + ... + 8053026.

It is an arithmetic number, because the mean of its divisors is an integer number (1648932222).

Almost surely, 2^85281773616 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 85281773616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131914577760).

85281773616 is an abundant number, since it is smaller than the sum of its proper divisors (178547381904).

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

85281773616 is a wasteful number, since it uses less digits than its factorization.

85281773616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12060 (or 12048 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 85281773616 in words is "eighty-five billion, two hundred eighty-one million, seven hundred seventy-three thousand, six hundred sixteen".