21302782136580 has 384 divisors, whose sum is σ = 73773740113920. Its totient is φ = 4484286696960.

The previous prime is 21302782136453. The next prime is 21302782136593. The reversal of 21302782136580 is 8563128720312.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72255427 + ... + 72549653.

It is an arithmetic number, because the mean of its divisors is an integer number (192119114880).

Almost surely, 2^{21302782136580} is an apocalyptic number.

21302782136580 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 21302782136580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36886870056960).

21302782136580 is an abundant number, since it is smaller than the sum of its proper divisors (52470957977340).

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

21302782136580 is a wasteful number, since it uses less digits than its factorization.

21302782136580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294519 (or 294517 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 21302782136580 in words is "twenty-one trillion, three hundred two billion, seven hundred eighty-two million, one hundred thirty-six thousand, five hundred eighty".