165223000800 has 1152 divisors, whose sum is σ = 708704640000. Its totient is φ = 36622540800.

The previous prime is 165223000793. The next prime is 165223000829. The reversal of 165223000800 is 8000322561.

165223000800 is a `hidden beast` number, since 1 + 652 + 2 + 3 + 0 + 0 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 460231021 + ... + 460231379.

It is an arithmetic number, because the mean of its divisors is an integer number (615195000).

Almost surely, 2^165223000800 is an apocalyptic number.

165223000800 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 165223000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354352320000).

165223000800 is an abundant number, since it is smaller than the sum of its proper divisors (543481639200).

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

165223000800 is a wasteful number, since it uses less digits than its factorization.

165223000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 165223000800 in words is "one hundred sixty-five billion, two hundred twenty-three million, eight hundred", and thus it is an aban number.