10963208256 has 672 divisors, whose sum is σ = 41154583680. Its totient is φ = 2528870400.

The previous prime is 10963208239. The next prime is 10963208281. The reversal of 10963208256 is 65280236901.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 95 ways as a sum of consecutive naturals, for example, 39014836 + ... + 39015116.

It is an arithmetic number, because the mean of its divisors is an integer number (61241940).

Almost surely, 2^10963208256 is an apocalyptic number.

10963208256 is a gapful number since it is divisible by the number (16) 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 10963208256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20577291840).

10963208256 is an abundant number, since it is smaller than the sum of its proper divisors (30191375424).

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

10963208256 is a wasteful number, since it uses less digits than its factorization.

10963208256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 10963208256 in words is "ten billion, nine hundred sixty-three million, two hundred eight thousand, two hundred fifty-six".