16152105120160 has 96 divisors (see below), whose sum is σ = 38543994961920. Its totient is φ = 6395939407872.

The previous prime is 16152105120119. The next prime is 16152105120167. The reversal of 16152105120160 is 6102150125161.

16152105120160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×16152105120160³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (16152105120167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8416561 + ... + 10155919.

It is an arithmetic number, because the mean of its divisors is an integer number (401499947520).

Almost surely, 2^{16152105120160} is an apocalyptic number.

16152105120160 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 16152105120160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19271997480960).

16152105120160 is an abundant number, since it is smaller than the sum of its proper divisors (22391889841760).

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

16152105120160 is a wasteful number, since it uses less digits than its factorization.

16152105120160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739958 (or 1739950 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 31.

The spelling of 16152105120160 in words is "sixteen trillion, one hundred fifty-two billion, one hundred five million, one hundred twenty thousand, one hundred sixty".