10788264480 has 384 divisors, whose sum is σ = 40954636800. Its totient is φ = 2334818304.

The previous prime is 10788264479. The next prime is 10788264493. The reversal of 10788264480 is 8446288701.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5163276 + ... + 5165364.

It is an arithmetic number, because the mean of its divisors is an integer number (106652700).

Almost surely, 2^10788264480 is an apocalyptic number.

10788264480 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 10788264480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20477318400).

10788264480 is an abundant number, since it is smaller than the sum of its proper divisors (30166372320).

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

10788264480 is a wasteful number, since it uses less digits than its factorization.

10788264480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 10788264480 in words is "ten billion, seven hundred eighty-eight million, two hundred sixty-four thousand, four hundred eighty".