165201921360 has 640 divisors, whose sum is σ = 692972789760. Its totient is φ = 35312246784.

The previous prime is 165201921349. The next prime is 165201921361. The reversal of 165201921360 is 63129102561.

165201921360 is a `hidden beast` number, since 1 + 6 + 5 + 201 + 92 + 1 + 360 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165201921361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41895549 + ... + 41899491.

It is an arithmetic number, because the mean of its divisors is an integer number (1082769984).

Almost surely, 2^165201921360 is an apocalyptic number.

165201921360 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 165201921360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346486394880).

165201921360 is an abundant number, since it is smaller than the sum of its proper divisors (527770868400).

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

165201921360 is a wasteful number, since it uses less digits than its factorization.

165201921360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 165201921360 in words is "one hundred sixty-five billion, two hundred one million, nine hundred twenty-one thousand, three hundred sixty".