20165398364160 has 800 divisors, whose sum is σ = 82630797004800. Its totient is φ = 4608894173184.

The previous prime is 20165398364087. The next prime is 20165398364161. The reversal of 20165398364160 is 6146389356102.

20165398364160 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 539 + 8 + 3 + 6 + 41 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20165398364097 and 20165398364106.

It is not an unprimeable number, because it can be changed into a prime (20165398364161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1486349697 + ... + 1486363263.

It is an arithmetic number, because the mean of its divisors is an integer number (103288496256).

Almost surely, 2^{20165398364160} is an apocalyptic number.

20165398364160 is a gapful number since it is divisible by the number (20) 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 20165398364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41315398502400).

20165398364160 is an abundant number, since it is smaller than the sum of its proper divisors (62465398640640).

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

20165398364160 is an frugal number, since it uses more digits than its factorization.

20165398364160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13629 (or 13584 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 20165398364160 in words is "twenty trillion, one hundred sixty-five billion, three hundred ninety-eight million, three hundred sixty-four thousand, one hundred sixty".