107481724427280 has 640 divisors, whose sum is σ = 410401051508736. Its totient is φ = 22728058214400.

The previous prime is 107481724427263. The next prime is 107481724427353. The reversal of 107481724427280 is 82724427184701.

It is a self number, because there is not a number n which added to its sum of digits gives 107481724427280.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2169263467 + ... + 2169313013.

Almost surely, 2^{107481724427280} is an apocalyptic number.

107481724427280 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 107481724427280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205200525754368).

107481724427280 is an abundant number, since it is smaller than the sum of its proper divisors (302919327081456).

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

107481724427280 is a wasteful number, since it uses less digits than its factorization.

107481724427280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51435 (or 51429 counting only the distinct ones).

The product of its (nonzero) digits is 11239424, while the sum is 57.

The spelling of 107481724427280 in words is "one hundred seven trillion, four hundred eighty-one billion, seven hundred twenty-four million, four hundred twenty-seven thousand, two hundred eighty".