20165617200000 has 384 divisors, whose sum is σ = 67027639644000. Its totient is φ = 5371412480000.

The previous prime is 20165617199957. The next prime is 20165617200013. The reversal of 20165617200000 is 271656102.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1114790956 + ... + 1114809044.

Almost surely, 2^{20165617200000} is an apocalyptic number.

20165617200000 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 20165617200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33513819822000).

20165617200000 is an abundant number, since it is smaller than the sum of its proper divisors (46862022444000).

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

20165617200000 is an frugal number, since it uses more digits than its factorization.

20165617200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19060 (or 19028 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

Adding to 20165617200000 its reverse (271656102), we get a palindrome (20165888856102).

The spelling of 20165617200000 in words is "twenty trillion, one hundred sixty-five billion, six hundred seventeen million, two hundred thousand".