20704914610560 has 1536 divisors, whose sum is σ = 78790154526720. Its totient is φ = 5185260748800.

The previous prime is 20704914610553. The next prime is 20704914610631. The reversal of 20704914610560 is 6501641940702.

20704914610560 is a `hidden beast` number, since 2 + 0 + 7 + 0 + 49 + 1 + 46 + 1 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 80563869952 + ... + 80563870208.

It is an arithmetic number, because the mean of its divisors is an integer number (51295673520).

Almost surely, 2^{20704914610560} is an apocalyptic number.

20704914610560 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 20704914610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39395077263360).

20704914610560 is an abundant number, since it is smaller than the sum of its proper divisors (58085239916160).

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

20704914610560 is a wasteful number, since it uses less digits than its factorization.

20704914610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 20704914610560 in words is "twenty trillion, seven hundred four billion, nine hundred fourteen million, six hundred ten thousand, five hundred sixty".