165816158400 has 336 divisors, whose sum is σ = 605167293600. Its totient is φ = 44166021120.

The previous prime is 165816158383. The next prime is 165816158413. The reversal of 165816158400 is 4851618561.

165816158400 is a `hidden beast` number, since 1 + 6 + 5 + 8 + 1 + 61 + 584 + 0 + 0 = 666.

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

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, 49807936 + ... + 49811264.

Almost surely, 2^165816158400 is an apocalyptic number.

165816158400 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 165816158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302583646800).

165816158400 is an abundant number, since it is smaller than the sum of its proper divisors (439351135200).

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

165816158400 is a wasteful number, since it uses less digits than its factorization.

165816158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4513 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 165816158400 in words is "one hundred sixty-five billion, eight hundred sixteen million, one hundred fifty-eight thousand, four hundred".