16217561120 has 96 divisors (see below), whose sum is σ = 38897252352. Its totient is φ = 6389010432.

The previous prime is 16217561099. The next prime is 16217561137. The reversal of 16217561120 is 2116571261.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2944289 + ... + 2949791.

It is an arithmetic number, because the mean of its divisors is an integer number (405179712).

Almost surely, 2^16217561120 is an apocalyptic number.

16217561120 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 16217561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19448626176).

16217561120 is an abundant number, since it is smaller than the sum of its proper divisors (22679691232).

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

16217561120 is a wasteful number, since it uses less digits than its factorization.

16217561120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5794 (or 5786 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The spelling of 16217561120 in words is "sixteen billion, two hundred seventeen million, five hundred sixty-one thousand, one hundred twenty".