10780256000 has 144 divisors (see below), whose sum is σ = 27061987680. Its totient is φ = 4278886400.

The previous prime is 10780255991. The next prime is 10780256017. The reversal of 10780256000 is 65208701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4382771 + ... + 4385229.

It is an arithmetic number, because the mean of its divisors is an integer number (187930470).

Almost surely, 2^10780256000 is an apocalyptic number.

10780256000 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 10780256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13530993840).

10780256000 is an abundant number, since it is smaller than the sum of its proper divisors (16281731680).

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

10780256000 is an equidigital number, since it uses as much as digits as its factorization.

10780256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The spelling of 10780256000 in words is "ten billion, seven hundred eighty million, two hundred fifty-six thousand".