107897867691768 has 2592 divisors, whose sum is σ = 410932896192000. Its totient is φ = 25457402234880.

The previous prime is 107897867691739. The next prime is 107897867691799. The reversal of 107897867691768 is 867196768798701.

It is a congruent number.

It is an unprimeable number.

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 647 ways as a sum of consecutive naturals, for example, 724146762958 + ... + 724146763106.

It is an arithmetic number, because the mean of its divisors is an integer number (158538926000).

Almost surely, 2^{107897867691768} is an apocalyptic number.

107897867691768 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 107897867691768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205466448096000).

107897867691768 is an abundant number, since it is smaller than the sum of its proper divisors (303035028500232).

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

107897867691768 is a wasteful number, since it uses less digits than its factorization.

107897867691768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 21508042752, while the sum is 90.

The spelling of 107897867691768 in words is "one hundred seven trillion, eight hundred ninety-seven billion, eight hundred sixty-seven million, six hundred ninety-one thousand, seven hundred sixty-eight".