107627741088000 has 1728 divisors, whose sum is σ = 446016223860480. Its totient is φ = 22865117184000.

The previous prime is 107627741087957. The next prime is 107627741088001. The reversal of 107627741088000 is 880147726701.

It is not an unprimeable number, because it can be changed into a prime (107627741088001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4736916640 + ... + 4736939360.

It is an arithmetic number, because the mean of its divisors is an integer number (258111240660).

Almost surely, 2^{107627741088000} is an apocalyptic number.

107627741088000 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 107627741088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223008111930240).

107627741088000 is an abundant number, since it is smaller than the sum of its proper divisors (338388482772480).

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

107627741088000 is a wasteful number, since it uses less digits than its factorization.

107627741088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22841 (or 22810 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 51.

The spelling of 107627741088000 in words is "one hundred seven trillion, six hundred twenty-seven billion, seven hundred forty-one million, eighty-eight thousand".