8801353438080 has 1024 divisors, whose sum is σ = 34926888960000. Its totient is φ = 1878824263680.

The previous prime is 8801353438079. The next prime is 8801353438081. The reversal of 8801353438080 is 808343531088.

It is an interprime number because it is at equal distance from previous prime (8801353438079) and next prime (8801353438081).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8801353438081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 888392487 + ... + 888402393.

It is an arithmetic number, because the mean of its divisors is an integer number (34108290000).

Almost surely, 2^{8801353438080} is an apocalyptic number.

8801353438080 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 8801353438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17463444480000).

8801353438080 is an abundant number, since it is smaller than the sum of its proper divisors (26125535521920).

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

8801353438080 is a wasteful number, since it uses less digits than its factorization.

8801353438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10040 (or 10014 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 8801353438080 in words is "eight trillion, eight hundred one billion, three hundred fifty-three million, four hundred thirty-eight thousand, eighty".