108965480601600 has 1728 divisors, whose sum is σ = 466824435386400. Its totient is φ = 24840732672000.

The previous prime is 108965480601521. The next prime is 108965480601641. The reversal of 108965480601600 is 6106084569801.

108965480601600 is a `hidden beast` number, since 1 + 0 + 8 + 96 + 5 + 480 + 60 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28517527690 + ... + 28517531510.

Almost surely, 2^{108965480601600} is an apocalyptic number.

108965480601600 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 108965480601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233412217693200).

108965480601600 is an abundant number, since it is smaller than the sum of its proper divisors (357858954784800).

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

108965480601600 is a wasteful number, since it uses less digits than its factorization.

108965480601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4297 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 108965480601600 in words is "one hundred eight trillion, nine hundred sixty-five billion, four hundred eighty million, six hundred one thousand, six hundred".