109728624015360 has 2304 divisors, whose sum is σ = 479393423308800. Its totient is φ = 23499041144832.

The previous prime is 109728624015319. The next prime is 109728624015403. The reversal of 109728624015360 is 63510426827901.

It is a happy number.

109728624015360 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 2 + 8 + 62 + 40 + 1 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a junction number, because it is equal to n+sod(n) for n = 109728624015297 and 109728624015306.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 77876950336 + ... + 77876951744.

It is an arithmetic number, because the mean of its divisors is an integer number (208070062200).

It is a 1-persistent number, because it is pandigital, but 2⋅109728624015360 = 219457248030720 is not.

Almost surely, 2^{109728624015360} is an apocalyptic number.

109728624015360 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 109728624015360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239696711654400).

109728624015360 is an abundant number, since it is smaller than the sum of its proper divisors (369664799293440).

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

109728624015360 is a wasteful number, since it uses less digits than its factorization.

109728624015360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 109728624015360 in words is "one hundred nine trillion, seven hundred twenty-eight billion, six hundred twenty-four million, fifteen thousand, three hundred sixty".