165226805760 has 480 divisors, whose sum is σ = 556257182976. Its totient is φ = 41825894400.

The previous prime is 165226805747. The next prime is 165226805761. The reversal of 165226805760 is 67508622561.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (165226805761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 450209097 + ... + 450209463.

Almost surely, 2^165226805760 is an apocalyptic number.

165226805760 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 165226805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278128591488).

165226805760 is an abundant number, since it is smaller than the sum of its proper divisors (391030377216).

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

165226805760 is an equidigital number, since it uses as much as digits as its factorization.

165226805760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 165226805760 in words is "one hundred sixty-five billion, two hundred twenty-six million, eight hundred five thousand, seven hundred sixty".