10788286880 has 288 divisors, whose sum is σ = 30622898880. Its totient is φ = 3579555840.

The previous prime is 10788286801. The next prime is 10788286889. The reversal of 10788286880 is 8868288701.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (10788286889) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38392340 + ... + 38392620.

It is an arithmetic number, because the mean of its divisors is an integer number (106329510).

Almost surely, 2^10788286880 is an apocalyptic number.

10788286880 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 10788286880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15311449440).

10788286880 is an abundant number, since it is smaller than the sum of its proper divisors (19834612000).

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

10788286880 is a wasteful number, since it uses less digits than its factorization.

10788286880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 56.

The spelling of 10788286880 in words is "ten billion, seven hundred eighty-eight million, two hundred eighty-six thousand, eight hundred eighty".