20547871416576 has 567 divisors, whose sum is σ = 71582852869311. Its totient is φ = 5866903913472.

The previous prime is 20547871416539. The next prime is 20547871416577. The reversal of 20547871416576 is 67561417874502.

The square root of 20547871416576 is 4532976.

It is a perfect power (a square), and thus also a powerful number.

20547871416576 is a `hidden beast` number, since 2 + 0 + 5 + 47 + 8 + 7 + 1 + 4 + 16 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (567).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (20547871416577) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 13707718675 + ... + 13707720173.

Almost surely, 2^{20547871416576} is an apocalyptic number.

20547871416576 is the 4532976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20547871416576

20547871416576 is an abundant number, since it is smaller than the sum of its proper divisors (51034981452735).

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

20547871416576 is an frugal number, since it uses more digits than its factorization.

20547871416576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 63.

The spelling of 20547871416576 in words is "twenty trillion, five hundred forty-seven billion, eight hundred seventy-one million, four hundred sixteen thousand, five hundred seventy-six".