20104995536640 has 1080 divisors, whose sum is σ = 86570859291840. Its totient is φ = 4436932018176.

The previous prime is 20104995536609. The next prime is 20104995536657. The reversal of 20104995536640 is 4663559940102.

20104995536640 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 49 + 9 + 5 + 536 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 147261049 + ... + 147397511.

It is an arithmetic number, because the mean of its divisors is an integer number (80158203048).

Almost surely, 2^{20104995536640} is an apocalyptic number.

20104995536640 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 20104995536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43285429645920).

20104995536640 is an abundant number, since it is smaller than the sum of its proper divisors (66465863755200).

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

20104995536640 is a wasteful number, since it uses less digits than its factorization.

20104995536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136539 (or 136509 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 20104995536640 in words is "twenty trillion, one hundred four billion, nine hundred ninety-five million, five hundred thirty-six thousand, six hundred forty".