1106857820160 has 720 divisors, whose sum is σ = 4110821668800. Its totient is φ = 284587720704.

The previous prime is 1106857820149. The next prime is 1106857820171. The reversal of 1106857820160 is 610287586011.

1106857820160 is a `hidden beast` number, since 1 + 1 + 0 + 68 + 578 + 2 + 0 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1106857820149) and next prime (1106857820171).

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1539440281 + ... + 1539440999.

It is an arithmetic number, because the mean of its divisors is an integer number (5709474540).

Almost surely, 2^{1106857820160} is an apocalyptic number.

1106857820160 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 1106857820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055410834400).

1106857820160 is an abundant number, since it is smaller than the sum of its proper divisors (3003963848640).

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

1106857820160 is an frugal number, since it uses more digits than its factorization.

1106857820160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 1106857820160 in words is "one trillion, one hundred six billion, eight hundred fifty-seven million, eight hundred twenty thousand, one hundred sixty".