165212974080 has 2112 divisors, whose sum is σ = 790355543040. Its totient is φ = 31921274880.

The previous prime is 165212974057. The next prime is 165212974099. The reversal of 165212974080 is 80479212561.

165212974080 is a `hidden beast` number, since 1 + 6 + 521 + 2 + 9 + 7 + 40 + 80 = 666.

165212974080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 1990517719 + ... + 1990517801.

Almost surely, 2^165212974080 is an apocalyptic number.

165212974080 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 165212974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395177771520).

165212974080 is an abundant number, since it is smaller than the sum of its proper divisors (625142568960).

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

165212974080 is a wasteful number, since it uses less digits than its factorization.

165212974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 165212974080 in words is "one hundred sixty-five billion, two hundred twelve million, nine hundred seventy-four thousand, eighty".