107917627968000 has 1280 divisors, whose sum is σ = 408224980500480. Its totient is φ = 28091271168000.

The previous prime is 107917627967987. The next prime is 107917627968023. The reversal of 107917627968000 is 869726719701.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35004094459 + ... + 35004097541.

It is an arithmetic number, because the mean of its divisors is an integer number (318925766016).

Almost surely, 2^{107917627968000} is an apocalyptic number.

107917627968000 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 107917627968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204112490250240).

107917627968000 is an abundant number, since it is smaller than the sum of its proper divisors (300307352532480).

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

107917627968000 is an equidigital number, since it uses as much as digits as its factorization.

107917627968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 63.

The spelling of 107917627968000 in words is "one hundred seven trillion, nine hundred seventeen billion, six hundred twenty-seven million, nine hundred sixty-eight thousand".