20209278418560 has 1536 divisors, whose sum is σ = 91769757408000. Its totient is φ = 4155852718080.

The previous prime is 20209278418559. The next prime is 20209278418573. The reversal of 20209278418560 is 6581487290202.

20209278418560 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 9 + 2 + 78 + 4 + 1 + 8 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20209278418497 and 20209278418506.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 903439056 + ... + 903461424.

Almost surely, 2^{20209278418560} is an apocalyptic number.

20209278418560 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 20209278418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45884878704000).

20209278418560 is an abundant number, since it is smaller than the sum of its proper divisors (71560478989440).

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

20209278418560 is a wasteful number, since it uses less digits than its factorization.

20209278418560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22519 (or 22494 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 20209278418560 in words is "twenty trillion, two hundred nine billion, two hundred seventy-eight million, four hundred eighteen thousand, five hundred sixty".