8500826880 has 1440 divisors, whose sum is σ = 40387019904. Its totient is φ = 1656225792.

The previous prime is 8500826843. The next prime is 8500826909. The reversal of 8500826880 is 886280058.

8500826880 is a `hidden beast` number, since 8 + 500 + 8 + 2 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 160392934 + ... + 160392986.

Almost surely, 2^8500826880 is an apocalyptic number.

8500826880 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 8500826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20193509952).

8500826880 is an abundant number, since it is smaller than the sum of its proper divisors (31886193024).

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

8500826880 is a wasteful number, since it uses less digits than its factorization.

8500826880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 8500826880 is about 92199.9288502979. The cubic root of 8500826880 is about 2040.8937260476.

The spelling of 8500826880 in words is "eight billion, five hundred million, eight hundred twenty-six thousand, eight hundred eighty".