8500055760 has 800 divisors, whose sum is σ = 36453238272. Its totient is φ = 1791590400.

The previous prime is 8500055737. The next prime is 8500055791. The reversal of 8500055760 is 675500058.

8500055760 is a `hidden beast` number, since 85 + 0 + 0 + 0 + 5 + 576 + 0 = 666.

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

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 159 ways as a sum of consecutive naturals, for example, 56291685 + ... + 56291835.

Almost surely, 2^8500055760 is an apocalyptic number.

8500055760 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 8500055760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18226619136).

8500055760 is an abundant number, since it is smaller than the sum of its proper divisors (27953182512).

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

8500055760 is a wasteful number, since it uses less digits than its factorization.

8500055760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 8500055760 is about 92195.7469734911. The cubic root of 8500055760 is about 2040.8320135585.

The spelling of 8500055760 in words is "eight billion, five hundred million, fifty-five thousand, seven hundred sixty".