165381652800 has 1680 divisors, whose sum is σ = 770434994560. Its totient is φ = 33861058560.

The previous prime is 165381652769. The next prime is 165381652817. The reversal of 165381652800 is 8256183561.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 436363011 + ... + 436363389.

Almost surely, 2^165381652800 is an apocalyptic number.

165381652800 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 165381652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385217497280).

165381652800 is an abundant number, since it is smaller than the sum of its proper divisors (605053341760).

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

165381652800 is a wasteful number, since it uses less digits than its factorization.

165381652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 165381652800 in words is "one hundred sixty-five billion, three hundred eighty-one million, six hundred fifty-two thousand, eight hundred".