10816241280 has 512 divisors, whose sum is σ = 39382640640. Its totient is φ = 2504933376.

The previous prime is 10816241243. The next prime is 10816241299. The reversal of 10816241280 is 8214261801.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47648527 + ... + 47648753.

It is an arithmetic number, because the mean of its divisors is an integer number (76919220).

Almost surely, 2^10816241280 is an apocalyptic number.

10816241280 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 10816241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19691320320).

10816241280 is an abundant number, since it is smaller than the sum of its proper divisors (28566399360).

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

10816241280 is a wasteful number, since it uses less digits than its factorization.

10816241280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 10816241280 in words is "ten billion, eight hundred sixteen million, two hundred forty-one thousand, two hundred eighty".