16795155000960 has 384 divisors, whose sum is σ = 66496827196800. Its totient is φ = 3826385215488.

The previous prime is 16795155000931. The next prime is 16795155000983. The reversal of 16795155000960 is 6900055159761.

16795155000960 is a `hidden beast` number, since 1 + 6 + 79 + 5 + 1 + 5 + 500 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 16795155000897 and 16795155000906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11699826 + ... + 13056654.

It is an arithmetic number, because the mean of its divisors is an integer number (173168820825).

Almost surely, 2^{16795155000960} is an apocalyptic number.

16795155000960 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 16795155000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33248413598400).

16795155000960 is an abundant number, since it is smaller than the sum of its proper divisors (49701672195840).

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

16795155000960 is a wasteful number, since it uses less digits than its factorization.

16795155000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357168 (or 1357153 counting only the distinct ones).

The product of its (nonzero) digits is 2551500, while the sum is 54.

The spelling of 16795155000960 in words is "sixteen trillion, seven hundred ninety-five billion, one hundred fifty-five million, nine hundred sixty", and thus it is an aban number.