108890425275840 has 448 divisors, whose sum is σ = 413722354590720. Its totient is φ = 26801736192000.

The previous prime is 108890425275803. The next prime is 108890425275881. The reversal of 108890425275840 is 48572524098801.

108890425275840 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 9 + 0 + 4 + 25 + 27 + 584 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1885486965 + ... + 1885544715.

It is an arithmetic number, because the mean of its divisors is an integer number (923487398640).

Almost surely, 2^{108890425275840} is an apocalyptic number.

108890425275840 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 108890425275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206861177295360).

108890425275840 is an abundant number, since it is smaller than the sum of its proper divisors (304831929314880).

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

108890425275840 is a wasteful number, since it uses less digits than its factorization.

108890425275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74577 (or 74561 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 108890425275840 in words is "one hundred eight trillion, eight hundred ninety billion, four hundred twenty-five million, two hundred seventy-five thousand, eight hundred forty".