107489686348800 has 2640 divisors, whose sum is σ = 490786916019840. Its totient is φ = 22684772597760.

The previous prime is 107489686348799. The next prime is 107489686348819. The reversal of 107489686348800 is 8843686984701.

107489686348800 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 89 + 6 + 8 + 63 + 488 + 0 + 0 = 666.

It is a super-2 number, since 2×107489686348800² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13078191091 + ... + 13078199309.

It is an arithmetic number, because the mean of its divisors is an integer number (185904134856).

Almost surely, 2^{107489686348800} is an apocalyptic number.

107489686348800 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 107489686348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245393458009920).

107489686348800 is an abundant number, since it is smaller than the sum of its proper divisors (383297229671040).

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

107489686348800 is a wasteful number, since it uses less digits than its factorization.

107489686348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8338 (or 8306 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 107489686348800 in words is "one hundred seven trillion, four hundred eighty-nine billion, six hundred eighty-six million, three hundred forty-eight thousand, eight hundred".