8009705088 has 640 divisors, whose sum is σ = 30331699200. Its totient is φ = 2037934080.

The previous prime is 8009705069. The next prime is 8009705107. The reversal of 8009705088 is 8805079008.

It is an interprime number because it is at equal distance from previous prime (8009705069) and next prime (8009705107).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63068481 + ... + 63068607.

It is an arithmetic number, because the mean of its divisors is an integer number (47393280).

Almost surely, 2^8009705088 is an apocalyptic number.

8009705088 is a gapful number since it is divisible by the number (88) 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 8009705088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15165849600).

8009705088 is an abundant number, since it is smaller than the sum of its proper divisors (22321994112).

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

8009705088 is a wasteful number, since it uses less digits than its factorization.

8009705088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 8009705088 is about 89496.9557471091. The cubic root of 8009705088 is about 2000.8084305094.

The spelling of 8009705088 in words is "eight billion, nine million, seven hundred five thousand, eighty-eight".