20741509782 has 160 divisors (see below), whose sum is σ = 54432576000. Its totient is φ = 5900728176.

The previous prime is 20741509781. The next prime is 20741509807. The reversal of 20741509782 is 28790514702.

It is a happy number.

20741509782 is a `hidden beast` number, since 2 + 0 + 74 + 1 + 509 + 78 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20741509781) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15724519 + ... + 15725837.

It is an arithmetic number, because the mean of its divisors is an integer number (340203600).

Almost surely, 2^20741509782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20741509782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216288000).

20741509782 is an abundant number, since it is smaller than the sum of its proper divisors (33691066218).

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

20741509782 is a wasteful number, since it uses less digits than its factorization.

20741509782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 20741509782 in words is "twenty billion, seven hundred forty-one million, five hundred nine thousand, seven hundred eighty-two".