20563446240 has 384 divisors, whose sum is σ = 76863790080. Its totient is φ = 5122123776.

The previous prime is 20563446221. The next prime is 20563446257. The reversal of 20563446240 is 4264436502.

20563446240 is a `hidden beast` number, since 20 + 5 + 6 + 3 + 4 + 4 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20563446195 and 20563446204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4270074 + ... + 4274886.

It is an arithmetic number, because the mean of its divisors is an integer number (200166120).

Almost surely, 2^20563446240 is an apocalyptic number.

20563446240 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 20563446240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38431895040).

20563446240 is an abundant number, since it is smaller than the sum of its proper divisors (56300343840).

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

20563446240 is a wasteful number, since it uses less digits than its factorization.

20563446240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4903 (or 4889 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 20563446240 in words is "twenty billion, five hundred sixty-three million, four hundred forty-six thousand, two hundred forty".