165474390412800 has 2880 divisors, whose sum is σ = 744510162299904. Its totient is φ = 35578596556800.

The previous prime is 165474390412789. The next prime is 165474390412813. The reversal of 165474390412800 is 8214093474561.

165474390412800 is a `hidden beast` number, since 1 + 6 + 5 + 474 + 3 + 90 + 4 + 1 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 30547235692 + ... + 30547241108.

It is a 1-persistent number, because it is pandigital, but 2⋅165474390412800 = 330948780825600 is not.

Almost surely, 2^{165474390412800} is an apocalyptic number.

165474390412800 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 165474390412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372255081149952).

165474390412800 is an abundant number, since it is smaller than the sum of its proper divisors (579035771887104).

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

165474390412800 is an equidigital number, since it uses as much as digits as its factorization.

165474390412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5551 (or 5518 counting only the distinct ones).

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

The spelling of 165474390412800 in words is "one hundred sixty-five trillion, four hundred seventy-four billion, three hundred ninety million, four hundred twelve thousand, eight hundred".