107285385276216 has 1536 divisors, whose sum is σ = 394239605760000. Its totient is φ = 26608866342912.

The previous prime is 107285385276143. The next prime is 107285385276217. The reversal of 107285385276216 is 612672583582701.

107285385276216 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 8 + 5 + 38 + 527 + 62 + 16 = 666.

It is a super-2 number, since 2×107285385276216² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107285385276217) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 349463795535 + ... + 349463795841.

It is an arithmetic number, because the mean of its divisors is an integer number (256666410000).

Almost surely, 2^{107285385276216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107285385276216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197119802880000).

107285385276216 is an abundant number, since it is smaller than the sum of its proper divisors (286954220483784).

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

107285385276216 is an equidigital number, since it uses as much as digits as its factorization.

107285385276216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 107285385276216 in words is "one hundred seven trillion, two hundred eighty-five billion, three hundred eighty-five million, two hundred seventy-six thousand, two hundred sixteen".