85852469760 has 640 divisors, whose sum is σ = 312148235520. Its totient is φ = 19997392896.

The previous prime is 85852469749. The next prime is 85852469767. The reversal of 85852469760 is 6796425858.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 85852469694 and 85852469703.

It is not an unprimeable number, because it can be changed into a prime (85852469767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131473594 + ... + 131474246.

It is an arithmetic number, because the mean of its divisors is an integer number (487731618).

Almost surely, 2^85852469760 is an apocalyptic number.

85852469760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85852469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156074117760).

85852469760 is an abundant number, since it is smaller than the sum of its proper divisors (226295765760).

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

85852469760 is a wasteful number, since it uses less digits than its factorization.

85852469760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 85852469760 in words is "eighty-five billion, eight hundred fifty-two million, four hundred sixty-nine thousand, seven hundred sixty".