10788858288 has 160 divisors (see below), whose sum is σ = 33419736000. Its totient is φ = 3312728064.

The previous prime is 10788858281. The next prime is 10788858299. The reversal of 10788858288 is 88285888701.

It is not an unprimeable number, because it can be changed into a prime (10788858281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3126388 + ... + 3129836.

It is an arithmetic number, because the mean of its divisors is an integer number (208873350).

Almost surely, 2^10788858288 is an apocalyptic number.

10788858288 is a gapful number since it is divisible by the number (18) 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 10788858288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16709868000).

10788858288 is an abundant number, since it is smaller than the sum of its proper divisors (22630877712).

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

10788858288 is a wasteful number, since it uses less digits than its factorization.

10788858288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 18350080, while the sum is 63.

It can be divided in two parts, 107888 and 58288, that added together give a triangular number (166176 = T₅₇₆).

The spelling of 10788858288 in words is "ten billion, seven hundred eighty-eight million, eight hundred fifty-eight thousand, two hundred eighty-eight".