85649218560 has 352 divisors, whose sum is σ = 308179944000. Its totient is φ = 22836805632.

The previous prime is 85649218549. The next prime is 85649218583. The reversal of 85649218560 is 6581294658.

85649218560 is a `hidden beast` number, since 8 + 5 + 64 + 9 + 2 + 18 + 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 = 85649218497 and 85649218506.

It is a congruent number.

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, 11193616 + ... + 11201264.

Almost surely, 2^85649218560 is an apocalyptic number.

85649218560 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 85649218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154089972000).

85649218560 is an abundant number, since it is smaller than the sum of its proper divisors (222530725440).

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

85649218560 is an frugal number, since it uses more digits than its factorization.

85649218560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7695 (or 7659 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 85649218560 in words is "eighty-five billion, six hundred forty-nine million, two hundred eighteen thousand, five hundred sixty".