8500122960 has 320 divisors, whose sum is σ = 31150006272. Its totient is φ = 1877188608.

The previous prime is 8500122959. The next prime is 8500122991. The reversal of 8500122960 is 692210058.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6553032 + ... + 6554328.

Almost surely, 2^8500122960 is an apocalyptic number.

8500122960 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 8500122960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15575003136).

8500122960 is an abundant number, since it is smaller than the sum of its proper divisors (22649883312).

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

8500122960 is a wasteful number, since it uses less digits than its factorization.

8500122960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 8500122960 is about 92196.1114147446. Note that the first 3 decimals coincide. The cubic root of 8500122960 is about 2040.8373917016.

The spelling of 8500122960 in words is "eight billion, five hundred million, one hundred twenty-two thousand, nine hundred sixty".