85775821560 has 1152 divisors, whose sum is σ = 352222940160. Its totient is φ = 18600192000.

The previous prime is 85775821553. The next prime is 85775821577. The reversal of 85775821560 is 6512857758.

85775821560 is a `hidden beast` number, since 8 + 5 + 7 + 7 + 58 + 21 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 85775821497 and 85775821506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 849265510 + ... + 849265610.

It is an arithmetic number, because the mean of its divisors is an integer number (305749080).

Almost surely, 2^85775821560 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 85775821560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176111470080).

85775821560 is an abundant number, since it is smaller than the sum of its proper divisors (266447118600).

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

85775821560 is a wasteful number, since it uses less digits than its factorization.

85775821560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 85775821560 in words is "eighty-five billion, seven hundred seventy-five million, eight hundred twenty-one thousand, five hundred sixty".