165610006056 has 480 divisors, whose sum is σ = 531754561800. Its totient is φ = 48059827200.

The previous prime is 165610006043. The next prime is 165610006063. The reversal of 165610006056 is 650600016561.

It can be written as a sum of positive squares in 4 ways, for example, as 127727612100 + 37882393956 = 357390^2 + 194634^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 165610006056.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 393372726 + ... + 393373146.

Almost surely, 2^165610006056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165610006056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265877280900).

165610006056 is an abundant number, since it is smaller than the sum of its proper divisors (366144555744).

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

165610006056 is a wasteful number, since it uses less digits than its factorization.

165610006056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 165610006056 in words is "one hundred sixty-five billion, six hundred ten million, six thousand, fifty-six".