107688583620000 has 1920 divisors, whose sum is σ = 421864916014080. Its totient is φ = 26669813760000.

The previous prime is 107688583619951. The next prime is 107688583620071. The reversal of 107688583620000 is 26385886701.

107688583620000 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 8 + 8 + 5 + 8 + 3 + 620 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 319 ways as a sum of consecutive naturals, for example, 38501458602 + ... + 38501461398.

It is an arithmetic number, because the mean of its divisors is an integer number (219721310424).

Almost surely, 2^{107688583620000} is an apocalyptic number.

107688583620000 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 107688583620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210932458007040).

107688583620000 is an abundant number, since it is smaller than the sum of its proper divisors (314176332394080).

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

107688583620000 is a wasteful number, since it uses less digits than its factorization.

107688583620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 107688583620000 in words is "one hundred seven trillion, six hundred eighty-eight billion, five hundred eighty-three million, six hundred twenty thousand".