107581521338368 has 448 divisors, whose sum is σ = 269862264887040. Its totient is φ = 41662100275200.

The previous prime is 107581521338363. The next prime is 107581521338471. The reversal of 107581521338368 is 863833125185701.

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

It is not an unprimeable number, because it can be changed into a prime (107581521338363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131037175398 + ... + 131037176218.

It is an arithmetic number, because the mean of its divisors is an integer number (602371126980).

Almost surely, 2^{107581521338368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107581521338368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134931132443520).

107581521338368 is an abundant number, since it is smaller than the sum of its proper divisors (162280743548672).

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

107581521338368 is an equidigital number, since it uses as much as digits as its factorization.

107581521338368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 61.

The spelling of 107581521338368 in words is "one hundred seven trillion, five hundred eighty-one billion, five hundred twenty-one million, three hundred thirty-eight thousand, three hundred sixty-eight".