8102059560 has 512 divisors, whose sum is σ = 32204390400. Its totient is φ = 1772928000.

The previous prime is 8102059543. The next prime is 8102059583. The reversal of 8102059560 is 659502018.

It is a happy number.

8102059560 is a `hidden beast` number, since 8 + 1 + 0 + 2 + 0 + 595 + 60 = 666.

It is a super-2 number, since 2×8102059560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 42419065 + ... + 42419255.

It is an arithmetic number, because the mean of its divisors is an integer number (62899200).

Almost surely, 2^8102059560 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 8102059560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16102195200).

8102059560 is an abundant number, since it is smaller than the sum of its proper divisors (24102330840).

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

8102059560 is a wasteful number, since it uses less digits than its factorization.

8102059560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 8102059560 is about 90011.4412727627. The cubic root of 8102059560 is about 2008.4690503067.

The spelling of 8102059560 in words is "eight billion, one hundred two million, fifty-nine thousand, five hundred sixty".