20580519648048 has 160 divisors (see below), whose sum is σ = 55643871897600. Its totient is φ = 6546461257728.

The previous prime is 20580519647983. The next prime is 20580519648109. The reversal of 20580519648048 is 84084691508502.

It is a junction number, because it is equal to n+sod(n) for n = 20580519647982 and 20580519648000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42909336 + ... + 43386312.

It is an arithmetic number, because the mean of its divisors is an integer number (347774199360).

Almost surely, 2^{20580519648048} 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 20580519648048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27821935948800).

20580519648048 is an abundant number, since it is smaller than the sum of its proper divisors (35063352249552).

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

20580519648048 is a wasteful number, since it uses less digits than its factorization.

20580519648048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477379 (or 477373 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 60.

The spelling of 20580519648048 in words is "twenty trillion, five hundred eighty billion, five hundred nineteen million, six hundred forty-eight thousand, forty-eight".