10880714880 has 512 divisors, whose sum is σ = 45967564800. Its totient is φ = 2378280960.

The previous prime is 10880714861. The next prime is 10880714881. The reversal of 10880714880 is 8841708801.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10880714881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2780125 + ... + 2784035.

It is an arithmetic number, because the mean of its divisors is an integer number (89780400).

Almost surely, 2^10880714880 is an apocalyptic number.

10880714880 is a gapful number since it is divisible by the number (10) 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 10880714880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22983782400).

10880714880 is an abundant number, since it is smaller than the sum of its proper divisors (35086849920).

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

10880714880 is a wasteful number, since it uses less digits than its factorization.

10880714880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3969 (or 3951 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 10880714880 in words is "ten billion, eight hundred eighty million, seven hundred fourteen thousand, eight hundred eighty".