118106282880 has 192 divisors, whose sum is σ = 408149960400. Its totient is φ = 31470747648.

The previous prime is 118106282813. The next prime is 118106282887. The reversal of 118106282880 is 88282601811.

118106282880 is a `hidden beast` number, since 1 + 1 + 8 + 10 + 628 + 2 + 8 + 8 + 0 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118106282887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8212336 + ... + 8226704.

Almost surely, 2^118106282880 is an apocalyptic number.

118106282880 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 118106282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204074980200).

118106282880 is an abundant number, since it is smaller than the sum of its proper divisors (290043677520).

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

118106282880 is a wasteful number, since it uses less digits than its factorization.

118106282880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15821 (or 15806 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 45.

The spelling of 118106282880 in words is "one hundred eighteen billion, one hundred six million, two hundred eighty-two thousand, eight hundred eighty".