16455565541100 has 864 divisors, whose sum is σ = 59818556367360. Its totient is φ = 3409855488000.

The previous prime is 16455565541083. The next prime is 16455565541111. The reversal of 16455565541100 is 114556555461.

It is a self number, because there is not a number n which added to its sum of digits gives 16455565541100.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4595241310 + ... + 4595244890.

It is an arithmetic number, because the mean of its divisors is an integer number (69234440240).

Almost surely, 2^{16455565541100} is an apocalyptic number.

16455565541100 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 16455565541100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29909278183680).

16455565541100 is an abundant number, since it is smaller than the sum of its proper divisors (43362990826260).

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

16455565541100 is a wasteful number, since it uses less digits than its factorization.

16455565541100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 48.

The spelling of 16455565541100 in words is "sixteen trillion, four hundred fifty-five billion, five hundred sixty-five million, five hundred forty-one thousand, one hundred".