10880122176 has 560 divisors, whose sum is σ = 40769511552. Its totient is φ = 2786918400.

The previous prime is 10880122163. The next prime is 10880122177. The reversal of 10880122176 is 67122108801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10880122176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10880122177) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38719156 + ... + 38719436.

Almost surely, 2^10880122176 is an apocalyptic number.

10880122176 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 10880122176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20384755776).

10880122176 is an abundant number, since it is smaller than the sum of its proper divisors (29889389376).

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

10880122176 is a wasteful number, since it uses less digits than its factorization.

10880122176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 10880122176 in words is "ten billion, eight hundred eighty million, one hundred twenty-two thousand, one hundred seventy-six".