165610235975040 has 1024 divisors, whose sum is σ = 597364332364800. Its totient is φ = 43356832727040.

The previous prime is 165610235975027. The next prime is 165610235975071. The reversal of 165610235975040 is 40579532016561.

165610235975040 is a `hidden beast` number, since 1 + 6 + 5 + 6 + 1 + 0 + 2 + 3 + 597 + 5 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 111823251100 + ... + 111823252580.

It is an arithmetic number, because the mean of its divisors is an integer number (583363605825).

Almost surely, 2^{165610235975040} is an apocalyptic number.

165610235975040 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 165610235975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298682166182400).

165610235975040 is an abundant number, since it is smaller than the sum of its proper divisors (431754096389760).

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

165610235975040 is a wasteful number, since it uses less digits than its factorization.

165610235975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 165610235975040 in words is "one hundred sixty-five trillion, six hundred ten billion, two hundred thirty-five million, nine hundred seventy-five thousand, forty".