109431271055568 has 1600 divisors, whose sum is σ = 403498238745600. Its totient is φ = 25185273200640.

The previous prime is 109431271055507. The next prime is 109431271055573. The reversal of 109431271055568 is 865550172134901.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 73296229030 + ... + 73296230522.

It is an arithmetic number, because the mean of its divisors is an integer number (252186399216).

It is a 1-persistent number, because it is pandigital, but 2⋅109431271055568 = 218862542111136 is not.

Almost surely, 2^{109431271055568} 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 109431271055568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201749119372800).

109431271055568 is an abundant number, since it is smaller than the sum of its proper divisors (294066967690032).

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

109431271055568 is a wasteful number, since it uses less digits than its factorization.

109431271055568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 57.

The spelling of 109431271055568 in words is "one hundred nine trillion, four hundred thirty-one billion, two hundred seventy-one million, fifty-five thousand, five hundred sixty-eight".