16558950089100 has 144 divisors (see below), whose sum is σ = 52624874292480. Its totient is φ = 4001430470400.

The previous prime is 16558950089069. The next prime is 16558950089107. The reversal of 16558950089100 is 198005985561.

16558950089100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (16558950089107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63022791 + ... + 63284990.

It is an arithmetic number, because the mean of its divisors is an integer number (365450515920).

Almost surely, 2^{16558950089100} is an apocalyptic number.

16558950089100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16558950089100 is an abundant number, since it is smaller than the sum of its proper divisors (36065924203380).

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

16558950089100 is a wasteful number, since it uses less digits than its factorization.

16558950089100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126307840 (or 126307833 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 57.

The spelling of 16558950089100 in words is "sixteen trillion, five hundred fifty-eight billion, nine hundred fifty million, eighty-nine thousand, one hundred".