3162873692160 has 2048 divisors, whose sum is σ = 14156063308800. Its totient is φ = 660451885056.

The previous prime is 3162873692159. The next prime is 3162873692191. The reversal of 3162873692160 is 612963782613.

3162873692160 is a `hidden beast` number, since 3 + 1 + 62 + 8 + 7 + 369 + 216 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3162873692097 and 3162873692106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32606945232 + ... + 32606945328.

Almost surely, 2^{3162873692160} is an apocalyptic number.

3162873692160 is a gapful number since it is divisible by the number (30) 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 3162873692160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7078031654400).

3162873692160 is an abundant number, since it is smaller than the sum of its proper divisors (10993189616640).

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

3162873692160 is an frugal number, since it uses more digits than its factorization.

3162873692160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 3162873692160 in words is "three trillion, one hundred sixty-two billion, eight hundred seventy-three million, six hundred ninety-two thousand, one hundred sixty".