85852787384 has 192 divisors, whose sum is σ = 206602643520. Its totient is φ = 32549990400.

The previous prime is 85852787381. The next prime is 85852787387. The reversal of 85852787384 is 48378725858.

It is an interprime number because it is at equal distance from previous prime (85852787381) and next prime (85852787387).

It is a super-2 number, since 2×85852787384² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85852787384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85852787381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111064022 + ... + 111064794.

It is an arithmetic number, because the mean of its divisors is an integer number (1076055435).

Almost surely, 2^85852787384 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 85852787384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103301321760).

85852787384 is an abundant number, since it is smaller than the sum of its proper divisors (120749856136).

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

85852787384 is a wasteful number, since it uses less digits than its factorization.

85852787384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 897 counting only the distinct ones).

The product of its digits is 120422400, while the sum is 65.

The spelling of 85852787384 in words is "eighty-five billion, eight hundred fifty-two million, seven hundred eighty-seven thousand, three hundred eighty-four".