16345209120 has 96 divisors (see below), whose sum is σ = 51616414080. Its totient is φ = 4347801600.

The previous prime is 16345209091. The next prime is 16345209143. The reversal of 16345209120 is 2190254361.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×16345209120² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150021 + ... + 234939.

It is an arithmetic number, because the mean of its divisors is an integer number (537670980).

Almost surely, 2^16345209120 is an apocalyptic number.

16345209120 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 16345209120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25808207040).

16345209120 is an abundant number, since it is smaller than the sum of its proper divisors (35271204960).

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

16345209120 is a wasteful number, since it uses less digits than its factorization.

16345209120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85338 (or 85330 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 16345209120 in words is "sixteen billion, three hundred forty-five million, two hundred nine thousand, one hundred twenty".