8210125560 has 512 divisors, whose sum is σ = 31791513600. Its totient is φ = 1649756160.

The previous prime is 8210125543. The next prime is 8210125601. The reversal of 8210125560 is 655210128.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26742927 + ... + 26743233.

It is an arithmetic number, because the mean of its divisors is an integer number (62092800).

Almost surely, 2^8210125560 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 8210125560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15895756800).

8210125560 is an abundant number, since it is smaller than the sum of its proper divisors (23581388040).

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

8210125560 is a wasteful number, since it uses less digits than its factorization.

8210125560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 8210125560 is about 90609.7431847150. The cubic root of 8210125560 is about 2017.3593538182.

Adding to 8210125560 its reverse (655210128), we get a palindrome (8865335688).

The spelling of 8210125560 in words is "eight billion, two hundred ten million, one hundred twenty-five thousand, five hundred sixty".