107382195486720 has 3456 divisors, whose sum is σ = 494023373222400. Its totient is φ = 22152656977920.

The previous prime is 107382195486677. The next prime is 107382195486809. The reversal of 107382195486720 is 27684591283701.

107382195486720 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 8 + 2 + 1 + 9 + 548 + 67 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 772533780411 + ... + 772533780549.

It is an arithmetic number, because the mean of its divisors is an integer number (142946577900).

It is a 1-persistent number, because it is pandigital, but 2⋅107382195486720 = 214764390973440 is not.

Almost surely, 2^{107382195486720} is an apocalyptic number.

107382195486720 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 107382195486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247011686611200).

107382195486720 is an abundant number, since it is smaller than the sum of its proper divisors (386641177735680).

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

107382195486720 is an frugal number, since it uses more digits than its factorization.

107382195486720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 107382195486720 in words is "one hundred seven trillion, three hundred eighty-two billion, one hundred ninety-five million, four hundred eighty-six thousand, seven hundred twenty".