107255320710720 has 448 divisors, whose sum is σ = 424862197670400. Its totient is φ = 22319696904192.

The previous prime is 107255320710619. The next prime is 107255320710761. The reversal of 107255320710720 is 27017023552701.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2031895 + ... + 14786454.

It is an arithmetic number, because the mean of its divisors is an integer number (948353119800).

Almost surely, 2^{107255320710720} is an apocalyptic number.

107255320710720 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 107255320710720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212431098835200).

107255320710720 is an abundant number, since it is smaller than the sum of its proper divisors (317606876959680).

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

107255320710720 is a wasteful number, since it uses less digits than its factorization.

107255320710720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16818462 (or 16818452 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 42.

The spelling of 107255320710720 in words is "one hundred seven trillion, two hundred fifty-five billion, three hundred twenty million, seven hundred ten thousand, seven hundred twenty".