20613104640000 has 560 divisors, whose sum is σ = 76316255231040. Its totient is φ = 5496791040000.

The previous prime is 20613104639927. The next prime is 20613104640001. The reversal of 20613104640000 is 4640131602.

20613104640000 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 3 + 10 + 4 + 640 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20613104640001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 138165445 + ... + 138314555.

Almost surely, 2^{20613104640000} is an apocalyptic number.

20613104640000 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 20613104640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38158127615520).

20613104640000 is an abundant number, since it is smaller than the sum of its proper divisors (55703150591040).

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

20613104640000 is an frugal number, since it uses more digits than its factorization.

20613104640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149166 (or 149121 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 20613104640000 its reverse (4640131602), we get a palindrome (20617744771602).

The spelling of 20613104640000 in words is "twenty trillion, six hundred thirteen billion, one hundred four million, six hundred forty thousand".