16027713141100 has 72 divisors (see below), whose sum is σ = 35011561616640. Its totient is φ = 6368490823680.

The previous prime is 16027713141073. The next prime is 16027713141149. The reversal of 16027713141100 is 114131772061.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19545141 + ... + 20348659.

It is an arithmetic number, because the mean of its divisors is an integer number (486271689120).

Almost surely, 2^{16027713141100} is an apocalyptic number.

16027713141100 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 16027713141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17505780808320).

16027713141100 is an abundant number, since it is smaller than the sum of its proper divisors (18983848475540).

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

16027713141100 is a wasteful number, since it uses less digits than its factorization.

16027713141100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804859 (or 804852 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The spelling of 16027713141100 in words is "sixteen trillion, twenty-seven billion, seven hundred thirteen million, one hundred forty-one thousand, one hundred".