20580854742 has 96 divisors (see below), whose sum is σ = 51998925888. Its totient is φ = 5760937728.

The previous prime is 20580854713. The next prime is 20580854743. The reversal of 20580854742 is 24745808502.

20580854742 is a `hidden beast` number, since 20 + 5 + 80 + 8 + 547 + 4 + 2 = 666.

It is a super-2 number, since 2×20580854742² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20580854743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5694528 + ... + 5698140.

It is an arithmetic number, because the mean of its divisors is an integer number (541655478).

Almost surely, 2^20580854742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20580854742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25999462944).

20580854742 is an abundant number, since it is smaller than the sum of its proper divisors (31418071146).

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

20580854742 is a wasteful number, since it uses less digits than its factorization.

20580854742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4534 (or 4531 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 20580854742 in words is "twenty billion, five hundred eighty million, eight hundred fifty-four thousand, seven hundred forty-two".