10880556336 has 240 divisors, whose sum is σ = 34574627360. Its totient is φ = 3292047360.

The previous prime is 10880556311. The next prime is 10880556361. The reversal of 10880556336 is 63365508801.

10880556336 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 0 + 5 + 5 + 633 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (10880556311) and next prime (10880556361).

It is a super-3 number, since 3×10880556336³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10880556291 and 10880556300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3081420 + ... + 3084948.

Almost surely, 2^10880556336 is an apocalyptic number.

10880556336 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 10880556336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17287313680).

10880556336 is an abundant number, since it is smaller than the sum of its proper divisors (23694071024).

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

10880556336 is a wasteful number, since it uses less digits than its factorization.

10880556336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 10880556336 in words is "ten billion, eight hundred eighty million, five hundred fifty-six thousand, three hundred thirty-six".