165386390400 has 2304 divisors, whose sum is σ = 805493445120. Its totient is φ = 31260672000.

The previous prime is 165386390363. The next prime is 165386390413. The reversal of 165386390400 is 4093683561.

165386390400 is a `hidden beast` number, since 1 + 6 + 5 + 3 + 8 + 639 + 0 + 4 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1545667147 + ... + 1545667253.

It is an arithmetic number, because the mean of its divisors is an integer number (349606530).

Almost surely, 2^165386390400 is an apocalyptic number.

165386390400 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 165386390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402746722560).

165386390400 is an abundant number, since it is smaller than the sum of its proper divisors (640107054720).

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

165386390400 is a wasteful number, since it uses less digits than its factorization.

165386390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 165386390400 in words is "one hundred sixty-five billion, three hundred eighty-six million, three hundred ninety thousand, four hundred".