8026560000 has 400 divisors, whose sum is σ = 29721423600. Its totient is φ = 2138112000.

The previous prime is 8026559993. The next prime is 8026560023. The reversal of 8026560000 is 656208.

8026560000 is a `hidden beast` number, since 8 + 0 + 2 + 656 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8639536 + ... + 8640464.

It is an arithmetic number, because the mean of its divisors is an integer number (74303559).

Almost surely, 2^8026560000 is an apocalyptic number.

8026560000 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 8026560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14860711800).

8026560000 is an abundant number, since it is smaller than the sum of its proper divisors (21694863600).

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

8026560000 is an frugal number, since it uses more digits than its factorization.

8026560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 8026560000 is about 89591.0709836644. The cubic root of 8026560000 is about 2002.2108884190.

The spelling of 8026560000 in words is "eight billion, twenty-six million, five hundred sixty thousand".