165456076800 has 1344 divisors, whose sum is σ = 692722520064. Its totient is φ = 33973862400.

The previous prime is 165456076789. The next prime is 165456076813. The reversal of 165456076800 is 8670654561.

165456076800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a self number, because there is not a number n which added to its sum of digits gives 165456076800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2266521564 + ... + 2266521636.

Almost surely, 2^165456076800 is an apocalyptic number.

165456076800 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 165456076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346361260032).

165456076800 is an abundant number, since it is smaller than the sum of its proper divisors (527266443264).

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

165456076800 is a wasteful number, since it uses less digits than its factorization.

165456076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 138 counting only the distinct ones).

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

The spelling of 165456076800 in words is "one hundred sixty-five billion, four hundred fifty-six million, seventy-six thousand, eight hundred".