10882118360880 has 960 divisors, whose sum is σ = 41106489016320. Its totient is φ = 2561526374400.

The previous prime is 10882118360879. The next prime is 10882118360899. The reversal of 10882118360880 is 8806381128801.

10882118360880 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 21 + 1 + 8 + 3 + 608 + 8 + 0 = 666.

10882118360880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22345211997 + ... + 22345212483.

It is an arithmetic number, because the mean of its divisors is an integer number (42819259392).

Almost surely, 2^{10882118360880} is an apocalyptic number.

10882118360880 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 10882118360880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20553244508160).

10882118360880 is an abundant number, since it is smaller than the sum of its proper divisors (30224370655440).

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

10882118360880 is a wasteful number, since it uses less digits than its factorization.

10882118360880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 54.

The spelling of 10882118360880 in words is "ten trillion, eight hundred eighty-two billion, one hundred eighteen million, three hundred sixty thousand, eight hundred eighty".