20165239409760 has 288 divisors, whose sum is σ = 72098251479072. Its totient is φ = 5321959096320.

The previous prime is 20165239409743. The next prime is 20165239409773. The reversal of 20165239409760 is 6790493256102.

20165239409760 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 523 + 9 + 40 + 9 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 20165239409697 and 20165239409706.

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, 1097890 + ... + 6444830.

It is an arithmetic number, because the mean of its divisors is an integer number (250341150969).

Almost surely, 2^{20165239409760} is an apocalyptic number.

20165239409760 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 20165239409760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36049125739536).

20165239409760 is an abundant number, since it is smaller than the sum of its proper divisors (51933012069312).

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

20165239409760 is an equidigital number, since it uses as much as digits as its factorization.

20165239409760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5347068 (or 5347048 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 20165239409760 in words is "twenty trillion, one hundred sixty-five billion, two hundred thirty-nine million, four hundred nine thousand, seven hundred sixty".