109282053000960 has 4032 divisors, whose sum is σ = 500322222489600. Its totient is φ = 22284518031360.

The previous prime is 109282053000899. The next prime is 109282053001057. The reversal of 109282053000960 is 69000350282901.

109282053000960 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 8 + 20 + 530 + 0 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 182440822741 + ... + 182440823339.

It is an arithmetic number, because the mean of its divisors is an integer number (124087852800).

Almost surely, 2^{109282053000960} is an apocalyptic number.

109282053000960 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 109282053000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250161111244800).

109282053000960 is an abundant number, since it is smaller than the sum of its proper divisors (391040169488640).

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

109282053000960 is an equidigital number, since it uses as much as digits as its factorization.

109282053000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 109282053000960 in words is "one hundred nine trillion, two hundred eighty-two billion, fifty-three million, nine hundred sixty", and thus it is an aban number.