20827752834564 has 240 divisors, whose sum is σ = 62839229553408. Its totient is φ = 5964232995072.

The previous prime is 20827752834517. The next prime is 20827752834589. The reversal of 20827752834564 is 46543825772802.

It is a happy number.

20827752834564 is a `hidden beast` number, since 2 + 0 + 8 + 2 + 7 + 7 + 528 + 3 + 45 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 679089 + ... + 6489735.

Almost surely, 2^{20827752834564} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20827752834564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31419614776704).

20827752834564 is an abundant number, since it is smaller than the sum of its proper divisors (42011476718844).

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

20827752834564 is a wasteful number, since it uses less digits than its factorization.

20827752834564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5810736 (or 5810725 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 63.

The spelling of 20827752834564 in words is "twenty trillion, eight hundred twenty-seven billion, seven hundred fifty-two million, eight hundred thirty-four thousand, five hundred sixty-four".