165426490460160 has 1920 divisors, whose sum is σ = 645252457449600. Its totient is φ = 40399169126400.

The previous prime is 165426490460159. The next prime is 165426490460177. The reversal of 165426490460160 is 61064094624561.

165426490460160 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 26 + 4 + 9 + 0 + 4 + 601 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 = 165426490460097 and 165426490460106.

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 159 ways as a sum of consecutive naturals, for example, 68442899272 + ... + 68442901688.

It is an arithmetic number, because the mean of its divisors is an integer number (336068988255).

Almost surely, 2^{165426490460160} is an apocalyptic number.

165426490460160 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 165426490460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322626228724800).

165426490460160 is an abundant number, since it is smaller than the sum of its proper divisors (479825966989440).

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

165426490460160 is a wasteful number, since it uses less digits than its factorization.

165426490460160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 165426490460160 in words is "one hundred sixty-five trillion, four hundred twenty-six billion, four hundred ninety million, four hundred sixty thousand, one hundred sixty".