20584683119104 has 160 divisors (see below), whose sum is σ = 44770264363440. Its totient is φ = 9398331113472.

The previous prime is 20584683119083. The next prime is 20584683119191. The reversal of 20584683119104 is 40191138648502.

It can be written as a sum of positive squares in 8 ways, for example, as 9472114182400 + 11112568936704 = 3077680^2 + 3333552^2 .

It is a super-2 number, since 2×20584683119104² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1699943002 + ... + 1699955110.

Almost surely, 2^{20584683119104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20584683119104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22385132181720).

20584683119104 is an abundant number, since it is smaller than the sum of its proper divisors (24185581244336).

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

20584683119104 is a wasteful number, since it uses less digits than its factorization.

20584683119104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14870 (or 14854 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

The spelling of 20584683119104 in words is "twenty trillion, five hundred eighty-four billion, six hundred eighty-three million, one hundred nineteen thousand, one hundred four".