165504110400 has 504 divisors, whose sum is σ = 606625054464. Its totient is φ = 42771456000.

The previous prime is 165504110399. The next prime is 165504110411. The reversal of 165504110400 is 4011405561.

165504110400 is a `hidden beast` number, since 1 + 6 + 5 + 504 + 110 + 40 + 0 = 666.

It is a super-2 number, since 2×165504110400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84829425 + ... + 84831375.

Almost surely, 2^165504110400 is an apocalyptic number.

165504110400 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 165504110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303312527232).

165504110400 is an abundant number, since it is smaller than the sum of its proper divisors (441120944064).

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

165504110400 is a wasteful number, since it uses less digits than its factorization.

165504110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 165504110400 its reverse (4011405561), we get a palindrome (169515515961).

The spelling of 165504110400 in words is "one hundred sixty-five billion, five hundred four million, one hundred ten thousand, four hundred".