165016983600 has 720 divisors, whose sum is σ = 695562266880. Its totient is φ = 35388057600.

The previous prime is 165016983589. The next prime is 165016983601. The reversal of 165016983600 is 6389610561.

165016983600 is a `hidden beast` number, since 1 + 6 + 501 + 6 + 9 + 83 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (165016983601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51229990 + ... + 51233210.

It is an arithmetic number, because the mean of its divisors is an integer number (966058704).

Almost surely, 2^165016983600 is an apocalyptic number.

165016983600 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 165016983600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347781133440).

165016983600 is an abundant number, since it is smaller than the sum of its proper divisors (530545283280).

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

165016983600 is a wasteful number, since it uses less digits than its factorization.

165016983600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 165016983600 in words is "one hundred sixty-five billion, sixteen million, nine hundred eighty-three thousand, six hundred".