107956375008768 has 1280 divisors, whose sum is σ = 394750434355200. Its totient is φ = 28677390336000.

The previous prime is 107956375008763. The next prime is 107956375008773. The reversal of 107956375008768 is 867800573659701.

107956375008768 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 5 + 6 + 37 + 500 + 87 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (107956375008763) and next prime (107956375008773).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 107956375008696 and 107956375008705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107956375008763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3497000373 + ... + 3497031243.

It is an arithmetic number, because the mean of its divisors is an integer number (308398776840).

Almost surely, 2^{107956375008768} is an apocalyptic number.

107956375008768 is a gapful number since it is divisible by the number (18) 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 107956375008768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197375217177600).

107956375008768 is an abundant number, since it is smaller than the sum of its proper divisors (286794059346432).

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

107956375008768 is a wasteful number, since it uses less digits than its factorization.

107956375008768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31012 (or 30990 counting only the distinct ones).

The product of its (nonzero) digits is 533433600, while the sum is 72.

The spelling of 107956375008768 in words is "one hundred seven trillion, nine hundred fifty-six billion, three hundred seventy-five million, eight thousand, seven hundred sixty-eight".