107729845466880 has 576 divisors, whose sum is σ = 424467587432448. Its totient is φ = 22675792527360.

The previous prime is 107729845466839. The next prime is 107729845466911. The reversal of 107729845466880 is 88664548927701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146748097 + ... + 147480383.

It is an arithmetic number, because the mean of its divisors is an integer number (736922894848).

Almost surely, 2^{107729845466880} is an apocalyptic number.

107729845466880 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 107729845466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212233793716224).

107729845466880 is an abundant number, since it is smaller than the sum of its proper divisors (316737741965568).

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

107729845466880 is a wasteful number, since it uses less digits than its factorization.

107729845466880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732752 (or 732738 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 75.

The spelling of 107729845466880 in words is "one hundred seven trillion, seven hundred twenty-nine billion, eight hundred forty-five million, four hundred sixty-six thousand, eight hundred eighty".