165180792400 has 120 divisors (see below), whose sum is σ = 452513396664. Its totient is φ = 57402163200.

The previous prime is 165180792379. The next prime is 165180792419. The reversal of 165180792400 is 4297081561.

165180792400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 21482178624 + 143698613776 = 146568^2 + 379076^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 845881 + ... + 1022680.

Almost surely, 2^165180792400 is an apocalyptic number.

165180792400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165180792400 is an abundant number, since it is smaller than the sum of its proper divisors (287332604264).

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

165180792400 is a wasteful number, since it uses less digits than its factorization.

165180792400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868609 (or 1868598 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 165180792400 in words is "one hundred sixty-five billion, one hundred eighty million, seven hundred ninety-two thousand, four hundred".