10991048256 has 168 divisors, whose sum is σ = 34306459200. Its totient is φ = 3351075840.

The previous prime is 10991048213. The next prime is 10991048261. The reversal of 10991048256 is 65284019901.

10991048256 is a `hidden beast` number, since 109 + 9 + 10 + 482 + 56 = 666.

It is a super-3 number, since 3×10991048256³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300061 + ... + 334691.

Almost surely, 2^10991048256 is an apocalyptic number.

10991048256 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 10991048256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17153229600).

10991048256 is an abundant number, since it is smaller than the sum of its proper divisors (23315410944).

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

10991048256 is a wasteful number, since it uses less digits than its factorization.

10991048256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34697 (or 34684 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 10991048256 in words is "ten billion, nine hundred ninety-one million, forty-eight thousand, two hundred fifty-six".