20736582048 has 864 divisors, whose sum is σ = 80231271120. Its totient is φ = 5016453120.

The previous prime is 20736582019. The next prime is 20736582049. The reversal of 20736582048 is 84028563702.

20736582048 is a `hidden beast` number, since 20 + 7 + 3 + 6 + 582 + 0 + 48 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5426974224 + 15309607824 = 73668^2 + 123732^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20736581994 and 20736582012.

It is not an unprimeable number, because it can be changed into a prime (20736582049) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 190243818 + ... + 190243926.

Almost surely, 2^20736582048 is an apocalyptic number.

20736582048 is a gapful number since it is divisible by the number (28) 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 20736582048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40115635560).

20736582048 is an abundant number, since it is smaller than the sum of its proper divisors (59494689072).

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

20736582048 is a wasteful number, since it uses less digits than its factorization.

20736582048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 20736582048 in words is "twenty billion, seven hundred thirty-six million, five hundred eighty-two thousand, forty-eight".