20582760960 has 560 divisors, whose sum is σ = 76078177560. Its totient is φ = 5334958080.

The previous prime is 20582760871. The next prime is 20582760967. The reversal of 20582760960 is 6906728502.

20582760960 is a `hidden beast` number, since 2 + 0 + 582 + 7 + 6 + 0 + 9 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5846743296 + 14736017664 = 76464^2 + 121392^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20582760967) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 76515706 + ... + 76515974.

Almost surely, 2^20582760960 is an apocalyptic number.

20582760960 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 20582760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38039088780).

20582760960 is an abundant number, since it is smaller than the sum of its proper divisors (55495416600).

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

20582760960 is an frugal number, since it uses more digits than its factorization.

20582760960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 320 counting only the distinct ones).

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

The spelling of 20582760960 in words is "twenty billion, five hundred eighty-two million, seven hundred sixty thousand, nine hundred sixty".