16205721562100 has 144 divisors (see below), whose sum is σ = 41588149438080. Its totient is φ = 5363092492800.

The previous prime is 16205721562097. The next prime is 16205721562169. The reversal of 16205721562100 is 126512750261.

It is a super-2 number, since 2×16205721562100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70752962 + ... + 70981638.

It is an arithmetic number, because the mean of its divisors is an integer number (288806593320).

Almost surely, 2^{16205721562100} is an apocalyptic number.

16205721562100 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 16205721562100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20794074719040).

16205721562100 is an abundant number, since it is smaller than the sum of its proper divisors (25382427875980).

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

16205721562100 is a wasteful number, since it uses less digits than its factorization.

16205721562100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232218 (or 232211 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The spelling of 16205721562100 in words is "sixteen trillion, two hundred five billion, seven hundred twenty-one million, five hundred sixty-two thousand, one hundred".