2167072004160 has 1120 divisors, whose sum is σ = 9344733184512. Its totient is φ = 465972756480.

The previous prime is 2167072004077. The next prime is 2167072004249. The reversal of 2167072004160 is 614002707612.

2167072004160 is a `hidden beast` number, since 216 + 7 + 0 + 7 + 20 + 0 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 254556064 + ... + 254564576.

Almost surely, 2^{2167072004160} is an apocalyptic number.

2167072004160 is a gapful number since it is divisible by the number (20) 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 2167072004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4672366592256).

2167072004160 is an abundant number, since it is smaller than the sum of its proper divisors (7177661180352).

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

2167072004160 is a wasteful number, since it uses less digits than its factorization.

2167072004160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8633 (or 8614 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 2167072004160 in words is "two trillion, one hundred sixty-seven billion, seventy-two million, four thousand, one hundred sixty".