108432955330560 has 1248 divisors, whose sum is σ = 448713705623040. Its totient is φ = 23681225981952.

The previous prime is 108432955330541. The next prime is 108432955330591. The reversal of 108432955330560 is 65033559234801.

108432955330560 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 3 + 2 + 9 + 553 + 30 + 56 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 108432955330497 and 108432955330506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42406316802 + ... + 42406319358.

It is an arithmetic number, because the mean of its divisors is an integer number (359546238480).

Almost surely, 2^{108432955330560} is an apocalyptic number.

108432955330560 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 108432955330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224356852811520).

108432955330560 is an abundant number, since it is smaller than the sum of its proper divisors (340280750292480).

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

108432955330560 is a wasteful number, since it uses less digits than its factorization.

108432955330560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4051 (or 4026 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 108432955330560 in words is "one hundred eight trillion, four hundred thirty-two billion, nine hundred fifty-five million, three hundred thirty thousand, five hundred sixty".