107856350085120 has 4352 divisors, whose sum is σ = 487045575475200. Its totient is φ = 19732019281920.

The previous prime is 107856350085091. The next prime is 107856350085157. The reversal of 107856350085120 is 21580053658701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1211869102036 + ... + 1211869102124.

Almost surely, 2^{107856350085120} is an apocalyptic number.

107856350085120 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 107856350085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243522787737600).

107856350085120 is an abundant number, since it is smaller than the sum of its proper divisors (379189225390080).

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

107856350085120 is a wasteful number, since it uses less digits than its factorization.

107856350085120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 51.

The spelling of 107856350085120 in words is "one hundred seven trillion, eight hundred fifty-six billion, three hundred fifty million, eighty-five thousand, one hundred twenty".