108759318382000 has 960 divisors, whose sum is σ = 326321380344960. Its totient is φ = 34786160640000.

The previous prime is 108759318381997. The next prime is 108759318382003. The reversal of 108759318382000 is 283813957801.

It is an interprime number because it is at equal distance from previous prime (108759318381997) and next prime (108759318382003).

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (108759318382003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5546388196 + ... + 5546407804.

It is an arithmetic number, because the mean of its divisors is an integer number (339918104526).

Almost surely, 2^{108759318382000} is an apocalyptic number.

108759318382000 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 108759318382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163160690172480).

108759318382000 is an abundant number, since it is smaller than the sum of its proper divisors (217562061962960).

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

108759318382000 is a wasteful number, since it uses less digits than its factorization.

108759318382000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19751 (or 19724 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 55.

The spelling of 108759318382000 in words is "one hundred eight trillion, seven hundred fifty-nine billion, three hundred eighteen million, three hundred eighty-two thousand".