10880433795456 has 192 divisors, whose sum is σ = 31428984600000. Its totient is φ = 3613006605312.

The previous prime is 10880433795433. The next prime is 10880433795457. The reversal of 10880433795456 is 65459733408801.

10880433795456 is a `hidden beast` number, since 1 + 0 + 8 + 80 + 4 + 3 + 3 + 7 + 9 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10880433795393 and 10880433795402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10880433795457) 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, 323622615 + ... + 323656233.

It is an arithmetic number, because the mean of its divisors is an integer number (163692628125).

Almost surely, 2^{10880433795456} is an apocalyptic number.

10880433795456 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 10880433795456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15714492300000).

10880433795456 is an abundant number, since it is smaller than the sum of its proper divisors (20548550804544).

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

10880433795456 is a wasteful number, since it uses less digits than its factorization.

10880433795456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34701 (or 34686 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

It can be divided in two parts, 10880433 and 795456, that added together give a square (11675889 = 3417²).

The spelling of 10880433795456 in words is "ten trillion, eight hundred eighty billion, four hundred thirty-three million, seven hundred ninety-five thousand, four hundred fifty-six".