165403310800 has 240 divisors, whose sum is σ = 491245363840. Its totient is φ = 52116203520.

The previous prime is 165403310797. The next prime is 165403310833. The reversal of 165403310800 is 8013304561.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8325679 + ... + 8345521.

Almost surely, 2^165403310800 is an apocalyptic number.

165403310800 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 165403310800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245622681920).

165403310800 is an abundant number, since it is smaller than the sum of its proper divisors (325842053040).

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

165403310800 is a wasteful number, since it uses less digits than its factorization.

165403310800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20110 (or 20099 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 165403310800 in words is "one hundred sixty-five billion, four hundred three million, three hundred ten thousand, eight hundred".