165200855040 has 816 divisors, whose sum is σ = 641220303360. Its totient is φ = 39069941760.

The previous prime is 165200854991. The next prime is 165200855047. The reversal of 165200855040 is 40558002561.

165200855040 is a `hidden beast` number, since 1 + 6 + 520 + 0 + 85 + 50 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 165200854986 and 165200855004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165200855047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1188495291 + ... + 1188495429.

Almost surely, 2^165200855040 is an apocalyptic number.

165200855040 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 165200855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320610151680).

165200855040 is an abundant number, since it is smaller than the sum of its proper divisors (476019448320).

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

165200855040 is a wasteful number, since it uses less digits than its factorization.

165200855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 165200855040 in words is "one hundred sixty-five billion, two hundred million, eight hundred fifty-five thousand, forty".