20083665087360 has 768 divisors, whose sum is σ = 83745334632960. Its totient is φ = 4503924891648.

The previous prime is 20083665087323. The next prime is 20083665087361. The reversal of 20083665087360 is 6378056638002.

20083665087360 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 3 + 6 + 6 + 508 + 73 + 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 = 20083665087297 and 20083665087306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20083665087361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57523879 + ... + 57871961.

It is an arithmetic number, because the mean of its divisors is an integer number (109043404470).

Almost surely, 2^{20083665087360} is an apocalyptic number.

20083665087360 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 20083665087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41872667316480).

20083665087360 is an abundant number, since it is smaller than the sum of its proper divisors (63661669545600).

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

20083665087360 is an equidigital number, since it uses as much as digits as its factorization.

20083665087360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348177 (or 348153 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 20083665087360 in words is "twenty trillion, eighty-three billion, six hundred sixty-five million, eighty-seven thousand, three hundred sixty".