109956128256 has 240 divisors, whose sum is σ = 342400522464. Its totient is φ = 33768456192.

The previous prime is 109956128189. The next prime is 109956128257. The reversal of 109956128256 is 652821659901.

109956128256 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 561 + 28 + 2 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109956128257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38756470 + ... + 38759306.

Almost surely, 2^109956128256 is an apocalyptic number.

109956128256 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 109956128256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171200261232).

109956128256 is an abundant number, since it is smaller than the sum of its proper divisors (232444394208).

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

109956128256 is a wasteful number, since it uses less digits than its factorization.

109956128256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 109956128256 in words is "one hundred nine billion, nine hundred fifty-six million, one hundred twenty-eight thousand, two hundred fifty-six".