85856564352 has 192 divisors, whose sum is σ = 254920815360. Its totient is φ = 25564631040.

The previous prime is 85856564347. The next prime is 85856564359. The reversal of 85856564352 is 25346565858.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 85856564292 and 85856564301.

It is not an unprimeable number, because it can be changed into a prime (85856564359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1990438 + ... + 2033114.

It is an arithmetic number, because the mean of its divisors is an integer number (1327712580).

Almost surely, 2^85856564352 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 85856564352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127460407680).

85856564352 is an abundant number, since it is smaller than the sum of its proper divisors (169064251008).

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

85856564352 is a wasteful number, since it uses less digits than its factorization.

85856564352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42751 (or 42726 counting only the distinct ones).

The product of its digits is 34560000, while the sum is 57.

The spelling of 85856564352 in words is "eighty-five billion, eight hundred fifty-six million, five hundred sixty-four thousand, three hundred fifty-two".