165823425300 has 432 divisors, whose sum is σ = 554047872000. Its totient is φ = 38162741760.

The previous prime is 165823425259. The next prime is 165823425419. The reversal of 165823425300 is 3524328561.

It is a happy number.

165823425300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×165823425300³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 143 ways as a sum of consecutive naturals, for example, 76099611 + ... + 76101789.

Almost surely, 2^165823425300 is an apocalyptic number.

165823425300 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 165823425300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277023936000).

165823425300 is an abundant number, since it is smaller than the sum of its proper divisors (388224446700).

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

165823425300 is a wasteful number, since it uses less digits than its factorization.

165823425300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 165823425300 in words is "one hundred sixty-five billion, eight hundred twenty-three million, four hundred twenty-five thousand, three hundred".