10288102880 has 96 divisors (see below), whose sum is σ = 26559404928. Its totient is φ = 3734899200.

The previous prime is 10288102873. The next prime is 10288102889. The reversal of 10288102880 is 8820188201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10288102889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1127135 + ... + 1136225.

It is an arithmetic number, because the mean of its divisors is an integer number (276660468).

Almost surely, 2^10288102880 is an apocalyptic number.

10288102880 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 10288102880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13279702464).

10288102880 is an abundant number, since it is smaller than the sum of its proper divisors (16271302048).

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

10288102880 is a wasteful number, since it uses less digits than its factorization.

10288102880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9760 (or 9752 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 38.

The spelling of 10288102880 in words is "ten billion, two hundred eighty-eight million, one hundred two thousand, eight hundred eighty".