16542817120 has 48 divisors (see below), whose sum is σ = 39123187488. Its totient is φ = 6610222080.

The previous prime is 16542817117. The next prime is 16542817133. The reversal of 16542817120 is 2171824561.

16542817120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 16542817120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101260 + ... + 208180.

It is an arithmetic number, because the mean of its divisors is an integer number (815066406).

Almost surely, 2^16542817120 is an apocalyptic number.

16542817120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16542817120 is an abundant number, since it is smaller than the sum of its proper divisors (22580370368).

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

16542817120 is a wasteful number, since it uses less digits than its factorization.

16542817120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107903 (or 107895 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The spelling of 16542817120 in words is "sixteen billion, five hundred forty-two million, eight hundred seventeen thousand, one hundred twenty".