107909081280 has 1120 divisors, whose sum is σ = 515505070080. Its totient is φ = 20692869120.

The previous prime is 107909081263. The next prime is 107909081281. The reversal of 107909081280 is 82180909701.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (107909081281) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25943841 + ... + 25947999.

It is an arithmetic number, because the mean of its divisors is an integer number (460272384).

Almost surely, 2^107909081280 is an apocalyptic number.

107909081280 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 107909081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257752535040).

107909081280 is an abundant number, since it is smaller than the sum of its proper divisors (407595988800).

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

107909081280 is a wasteful number, since it uses less digits than its factorization.

107909081280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4219 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 107909081280 in words is "one hundred seven billion, nine hundred nine million, eighty-one thousand, two hundred eighty".