10881008600 has 144 divisors (see below), whose sum is σ = 32104340280. Its totient is φ = 3391449600.

The previous prime is 10881008599. The next prime is 10881008617. The reversal of 10881008600 is 680018801.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57332 + ... + 158268.

Almost surely, 2^10881008600 is an apocalyptic number.

10881008600 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 10881008600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16052170140).

10881008600 is an abundant number, since it is smaller than the sum of its proper divisors (21223331680).

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

10881008600 is a wasteful number, since it uses less digits than its factorization.

10881008600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100978 (or 100962 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 32.

The spelling of 10881008600 in words is "ten billion, eight hundred eighty-one million, eight thousand, six hundred".