10808286720 has 640 divisors, whose sum is σ = 44075750400. Its totient is φ = 2239856640.

The previous prime is 10808286719. The next prime is 10808286733. The reversal of 10808286720 is 2768280801.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28976454 + ... + 28976826.

It is an arithmetic number, because the mean of its divisors is an integer number (68868360).

Almost surely, 2^10808286720 is an apocalyptic number.

10808286720 is a gapful number since it is divisible by the number (10) 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 10808286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22037875200).

10808286720 is an abundant number, since it is smaller than the sum of its proper divisors (33267463680).

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

10808286720 is an equidigital number, since it uses as much as digits as its factorization.

10808286720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 10808286720 in words is "ten billion, eight hundred eight million, two hundred eighty-six thousand, seven hundred twenty".