165850493760 has 672 divisors, whose sum is σ = 684428838912. Its totient is φ = 37441751040.

The previous prime is 165850493729. The next prime is 165850493771. The reversal of 165850493760 is 67394058561.

165850493760 is a `hidden beast` number, since 1 + 6 + 5 + 85 + 0 + 493 + 76 + 0 = 666.

165850493760 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 (672).

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 = 165850493697 and 165850493706.

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 95 ways as a sum of consecutive naturals, for example, 45176725 + ... + 45180395.

It is an arithmetic number, because the mean of its divisors is an integer number (1018495296).

Almost surely, 2^165850493760 is an apocalyptic number.

165850493760 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 165850493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342214419456).

165850493760 is an abundant number, since it is smaller than the sum of its proper divisors (518578345152).

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

165850493760 is an equidigital number, since it uses as much as digits as its factorization.

165850493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3793 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 165850493760 in words is "one hundred sixty-five billion, eight hundred fifty million, four hundred ninety-three thousand, seven hundred sixty".