165082706942400 has 3360 divisors, whose sum is σ = 712854475768512. Its totient is φ = 37099457740800.

The previous prime is 165082706942369. The next prime is 165082706942423. The reversal of 165082706942400 is 4249607280561.

165082706942400 is a `hidden beast` number, since 1 + 6 + 5 + 0 + 82 + 70 + 6 + 94 + 2 + 400 = 666.

165082706942400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 301796538927 + ... + 301796539473.

Almost surely, 2^{165082706942400} is an apocalyptic number.

165082706942400 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 165082706942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356427237884256).

165082706942400 is an abundant number, since it is smaller than the sum of its proper divisors (547771768826112).

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

165082706942400 is a wasteful number, since it uses less digits than its factorization.

165082706942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 165082706942400 in words is "one hundred sixty-five trillion, eighty-two billion, seven hundred six million, nine hundred forty-two thousand, four hundred".