107489143114080 has 1152 divisors, whose sum is σ = 444251939475456. Its totient is φ = 21612552192000.

The previous prime is 107489143114039. The next prime is 107489143114099. The reversal of 107489143114080 is 80411341984701.

It is a happy number.

107489143114080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 1905773880 + ... + 1905830280.

It is an arithmetic number, because the mean of its divisors is an integer number (385635364128).

Almost surely, 2^{107489143114080} is an apocalyptic number.

107489143114080 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 107489143114080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222125969737728).

107489143114080 is an abundant number, since it is smaller than the sum of its proper divisors (336762796361376).

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

107489143114080 is a wasteful number, since it uses less digits than its factorization.

107489143114080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56740 (or 56725 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 107489143114080 in words is "one hundred seven trillion, four hundred eighty-nine billion, one hundred forty-three million, one hundred fourteen thousand, eighty".